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Finding the Third Proportional to 326,940 and 700,536

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Solution

The third proportional to 326,940 and 700,536 is: 1,501,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,940 : 700,536 = 700,536 : x
  2. Step 2: Convert to fraction form
    326,940/700,536 = 700,536/x
  3. Step 3: Cross multiply
    326,940x = 700,536 × 700,536
  4. Step 4: Simplify right side
    326,940x = 490,750,687,296
  5. Step 5: Solve for x
    x = 490,750,687,296/326,940
  6. Step 6: Final answer
    x = 1,501,042.05

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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.