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Finding the Third Proportional to 341,400 and 748,107

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Solution

The third proportional to 341,400 and 748,107 is: 1,639,320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,400 : 748,107 = 748,107 : x
  2. Step 2: Convert to fraction form
    341,400/748,107 = 748,107/x
  3. Step 3: Cross multiply
    341,400x = 748,107 × 748,107
  4. Step 4: Simplify right side
    341,400x = 559,664,083,449
  5. Step 5: Solve for x
    x = 559,664,083,449/341,400
  6. Step 6: Final answer
    x = 1,639,320.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.