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Finding the Third Proportional to 482,790 and 730,398

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Solution

The third proportional to 482,790 and 730,398 is: 1,104,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,790 : 730,398 = 730,398 : x
  2. Step 2: Convert to fraction form
    482,790/730,398 = 730,398/x
  3. Step 3: Cross multiply
    482,790x = 730,398 × 730,398
  4. Step 4: Simplify right side
    482,790x = 533,481,238,404
  5. Step 5: Solve for x
    x = 533,481,238,404/482,790
  6. Step 6: Final answer
    x = 1,104,996.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.