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Finding the Third Proportional to 589,897.69 and 652,227.19

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Solution

The third proportional to 589,897.69 and 652,227.19 is: 721,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,897.69 : 652,227.19 = 652,227.19 : x
  2. Step 2: Convert to fraction form
    589,897.69/652,227.19 = 652,227.19/x
  3. Step 3: Cross multiply
    589,897.69x = 652,227.19 × 652,227.19
  4. Step 4: Simplify right side
    589,897.69x = 425,400,304,114.16
  5. Step 5: Solve for x
    x = 425,400,304,114.16/589,897.69
  6. Step 6: Final answer
    x = 721,142.52

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.