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Finding the Third Proportional to 326,006.25 and 700,217.63

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Solution

The third proportional to 326,006.25 and 700,217.63 is: 1,503,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,006.25 : 700,217.63 = 700,217.63 : x
  2. Step 2: Convert to fraction form
    326,006.25/700,217.63 = 700,217.63/x
  3. Step 3: Cross multiply
    326,006.25x = 700,217.63 × 700,217.63
  4. Step 4: Simplify right side
    326,006.25x = 490,304,722,360.64
  5. Step 5: Solve for x
    x = 490,304,722,360.64/326,006.25
  6. Step 6: Final answer
    x = 1,503,973.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.