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Finding the Third Proportional to 218,712 and 473,700

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Solution

The third proportional to 218,712 and 473,700 is: 1,025,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,712 : 473,700 = 473,700 : x
  2. Step 2: Convert to fraction form
    218,712/473,700 = 473,700/x
  3. Step 3: Cross multiply
    218,712x = 473,700 × 473,700
  4. Step 4: Simplify right side
    218,712x = 224,391,690,000
  5. Step 5: Solve for x
    x = 224,391,690,000/218,712
  6. Step 6: Final answer
    x = 1,025,968.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.