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Finding the Third Proportional to 584,792 and 881,508

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Solution

The third proportional to 584,792 and 881,508 is: 1,328,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,792 : 881,508 = 881,508 : x
  2. Step 2: Convert to fraction form
    584,792/881,508 = 881,508/x
  3. Step 3: Cross multiply
    584,792x = 881,508 × 881,508
  4. Step 4: Simplify right side
    584,792x = 777,056,354,064
  5. Step 5: Solve for x
    x = 777,056,354,064/584,792
  6. Step 6: Final answer
    x = 1,328,773.91

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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.