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Finding the Third Proportional to 537,132.09 and 729,918.84

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Solution

The third proportional to 537,132.09 and 729,918.84 is: 991,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,132.09 : 729,918.84 = 729,918.84 : x
  2. Step 2: Convert to fraction form
    537,132.09/729,918.84 = 729,918.84/x
  3. Step 3: Cross multiply
    537,132.09x = 729,918.84 × 729,918.84
  4. Step 4: Simplify right side
    537,132.09x = 532,781,518,461.34
  5. Step 5: Solve for x
    x = 532,781,518,461.34/537,132.09
  6. Step 6: Final answer
    x = 991,900.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.