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Finding the Third Proportional to 482,776 and 731,940

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Solution

The third proportional to 482,776 and 731,940 is: 1,109,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,776 : 731,940 = 731,940 : x
  2. Step 2: Convert to fraction form
    482,776/731,940 = 731,940/x
  3. Step 3: Cross multiply
    482,776x = 731,940 × 731,940
  4. Step 4: Simplify right side
    482,776x = 535,736,163,600
  5. Step 5: Solve for x
    x = 535,736,163,600/482,776
  6. Step 6: Final answer
    x = 1,109,699.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.