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Finding the Third Proportional to 326,829,402.50 and 700,285,310.19

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Solution

The third proportional to 326,829,402.50 and 700,285,310.19 is: 1,500,475,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,829,402.50 : 700,285,310.19 = 700,285,310.19 : x
  2. Step 2: Convert to fraction form
    326,829,402.50/700,285,310.19 = 700,285,310.19/x
  3. Step 3: Cross multiply
    326,829,402.50x = 700,285,310.19 × 700,285,310.19
  4. Step 4: Simplify right side
    326,829,402.50x = 490,399,515,664,403,072
  5. Step 5: Solve for x
    x = 490,399,515,664,403,072/326,829,402.50
  6. Step 6: Final answer
    x = 1,500,475,513.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.