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Finding the Third Proportional to 421,650 and 547,181

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Solution

The third proportional to 421,650 and 547,181 is: 710,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,650 : 547,181 = 547,181 : x
  2. Step 2: Convert to fraction form
    421,650/547,181 = 547,181/x
  3. Step 3: Cross multiply
    421,650x = 547,181 × 547,181
  4. Step 4: Simplify right side
    421,650x = 299,407,046,761
  5. Step 5: Solve for x
    x = 299,407,046,761/421,650
  6. Step 6: Final answer
    x = 710,084.30

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.