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Finding the Third Proportional to 371,733 and 791,418

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Solution

The third proportional to 371,733 and 791,418 is: 1,684,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,733 : 791,418 = 791,418 : x
  2. Step 2: Convert to fraction form
    371,733/791,418 = 791,418/x
  3. Step 3: Cross multiply
    371,733x = 791,418 × 791,418
  4. Step 4: Simplify right side
    371,733x = 626,342,450,724
  5. Step 5: Solve for x
    x = 626,342,450,724/371,733
  6. Step 6: Final answer
    x = 1,684,925.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.