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Finding the Third Proportional to 341,387 and 748,080

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Solution

The third proportional to 341,387 and 748,080 is: 1,639,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,387 : 748,080 = 748,080 : x
  2. Step 2: Convert to fraction form
    341,387/748,080 = 748,080/x
  3. Step 3: Cross multiply
    341,387x = 748,080 × 748,080
  4. Step 4: Simplify right side
    341,387x = 559,623,686,400
  5. Step 5: Solve for x
    x = 559,623,686,400/341,387
  6. Step 6: Final answer
    x = 1,639,264.78

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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.