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Finding the Third Proportional to 247,358 and 542,059

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Solution

The third proportional to 247,358 and 542,059 is: 1,187,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,358 : 542,059 = 542,059 : x
  2. Step 2: Convert to fraction form
    247,358/542,059 = 542,059/x
  3. Step 3: Cross multiply
    247,358x = 542,059 × 542,059
  4. Step 4: Simplify right side
    247,358x = 293,827,959,481
  5. Step 5: Solve for x
    x = 293,827,959,481/247,358
  6. Step 6: Final answer
    x = 1,187,865.20

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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.