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Finding the Third Proportional to 482,976 and 732,672

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Solution

The third proportional to 482,976 and 732,672 is: 1,111,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,976 : 732,672 = 732,672 : x
  2. Step 2: Convert to fraction form
    482,976/732,672 = 732,672/x
  3. Step 3: Cross multiply
    482,976x = 732,672 × 732,672
  4. Step 4: Simplify right side
    482,976x = 536,808,259,584
  5. Step 5: Solve for x
    x = 536,808,259,584/482,976
  6. Step 6: Final answer
    x = 1,111,459.49

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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.