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Finding the Third Proportional to 361,746 and 531,792

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Solution

The third proportional to 361,746 and 531,792 is: 781,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,746 : 531,792 = 531,792 : x
  2. Step 2: Convert to fraction form
    361,746/531,792 = 531,792/x
  3. Step 3: Cross multiply
    361,746x = 531,792 × 531,792
  4. Step 4: Simplify right side
    361,746x = 282,802,731,264
  5. Step 5: Solve for x
    x = 282,802,731,264/361,746
  6. Step 6: Final answer
    x = 781,771.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.