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Finding the Third Proportional to 218,944 and 473,872

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Solution

The third proportional to 218,944 and 473,872 is: 1,025,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,944 : 473,872 = 473,872 : x
  2. Step 2: Convert to fraction form
    218,944/473,872 = 473,872/x
  3. Step 3: Cross multiply
    218,944x = 473,872 × 473,872
  4. Step 4: Simplify right side
    218,944x = 224,554,672,384
  5. Step 5: Solve for x
    x = 224,554,672,384/218,944
  6. Step 6: Final answer
    x = 1,025,626.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.