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Finding the Third Proportional to 218,960 and 473,902

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Solution

The third proportional to 218,960 and 473,902 is: 1,025,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,960 : 473,902 = 473,902 : x
  2. Step 2: Convert to fraction form
    218,960/473,902 = 473,902/x
  3. Step 3: Cross multiply
    218,960x = 473,902 × 473,902
  4. Step 4: Simplify right side
    218,960x = 224,583,105,604
  5. Step 5: Solve for x
    x = 224,583,105,604/218,960
  6. Step 6: Final answer
    x = 1,025,680.97

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Why These Related Problems?

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