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Finding the Third Proportional to 482,792 and 730,400

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Solution

The third proportional to 482,792 and 730,400 is: 1,104,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,792 : 730,400 = 730,400 : x
  2. Step 2: Convert to fraction form
    482,792/730,400 = 730,400/x
  3. Step 3: Cross multiply
    482,792x = 730,400 × 730,400
  4. Step 4: Simplify right side
    482,792x = 533,484,160,000
  5. Step 5: Solve for x
    x = 533,484,160,000/482,792
  6. Step 6: Final answer
    x = 1,104,997.93

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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.