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Finding the Third Proportional to 341,287 and 744,781

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Solution

The third proportional to 341,287 and 744,781 is: 1,625,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,287 : 744,781 = 744,781 : x
  2. Step 2: Convert to fraction form
    341,287/744,781 = 744,781/x
  3. Step 3: Cross multiply
    341,287x = 744,781 × 744,781
  4. Step 4: Simplify right side
    341,287x = 554,698,737,961
  5. Step 5: Solve for x
    x = 554,698,737,961/341,287
  6. Step 6: Final answer
    x = 1,625,314.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.