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Finding the Third Proportional to 342,753 and 547,341

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Solution

The third proportional to 342,753 and 547,341 is: 874,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,753 : 547,341 = 547,341 : x
  2. Step 2: Convert to fraction form
    342,753/547,341 = 547,341/x
  3. Step 3: Cross multiply
    342,753x = 547,341 × 547,341
  4. Step 4: Simplify right side
    342,753x = 299,582,170,281
  5. Step 5: Solve for x
    x = 299,582,170,281/342,753
  6. Step 6: Final answer
    x = 874,046.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.