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Finding the Third Proportional to 350,829 and 488,792

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Solution

The third proportional to 350,829 and 488,792 is: 681,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,829 : 488,792 = 488,792 : x
  2. Step 2: Convert to fraction form
    350,829/488,792 = 488,792/x
  3. Step 3: Cross multiply
    350,829x = 488,792 × 488,792
  4. Step 4: Simplify right side
    350,829x = 238,917,619,264
  5. Step 5: Solve for x
    x = 238,917,619,264/350,829
  6. Step 6: Final answer
    x = 681,008.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.