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Finding the Third Proportional to 341,107.88 and 738,982.13

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Solution

The third proportional to 341,107.88 and 738,982.13 is: 1,600,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,107.88 : 738,982.13 = 738,982.13 : x
  2. Step 2: Convert to fraction form
    341,107.88/738,982.13 = 738,982.13/x
  3. Step 3: Cross multiply
    341,107.88x = 738,982.13 × 738,982.13
  4. Step 4: Simplify right side
    341,107.88x = 546,094,581,069.52
  5. Step 5: Solve for x
    x = 546,094,581,069.52/341,107.88
  6. Step 6: Final answer
    x = 1,600,943.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.