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Finding the Third Proportional to 216,264 and 474,629

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Solution

The third proportional to 216,264 and 474,629 is: 1,041,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,264 : 474,629 = 474,629 : x
  2. Step 2: Convert to fraction form
    216,264/474,629 = 474,629/x
  3. Step 3: Cross multiply
    216,264x = 474,629 × 474,629
  4. Step 4: Simplify right side
    216,264x = 225,272,687,641
  5. Step 5: Solve for x
    x = 225,272,687,641/216,264
  6. Step 6: Final answer
    x = 1,041,655.97

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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.