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Finding the Third Proportional to 537,936 and 730,962

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Solution

The third proportional to 537,936 and 730,962 is: 993,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,936 : 730,962 = 730,962 : x
  2. Step 2: Convert to fraction form
    537,936/730,962 = 730,962/x
  3. Step 3: Cross multiply
    537,936x = 730,962 × 730,962
  4. Step 4: Simplify right side
    537,936x = 534,305,445,444
  5. Step 5: Solve for x
    x = 534,305,445,444/537,936
  6. Step 6: Final answer
    x = 993,250.95

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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.