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Finding the Third Proportional to 537,940 and 730,968

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Solution

The third proportional to 537,940 and 730,968 is: 993,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,940 : 730,968 = 730,968 : x
  2. Step 2: Convert to fraction form
    537,940/730,968 = 730,968/x
  3. Step 3: Cross multiply
    537,940x = 730,968 × 730,968
  4. Step 4: Simplify right side
    537,940x = 534,314,217,024
  5. Step 5: Solve for x
    x = 534,314,217,024/537,940
  6. Step 6: Final answer
    x = 993,259.87

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