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Finding the Third Proportional to 214,542 and 457,572

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Solution

The third proportional to 214,542 and 457,572 is: 975,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,542 : 457,572 = 457,572 : x
  2. Step 2: Convert to fraction form
    214,542/457,572 = 457,572/x
  3. Step 3: Cross multiply
    214,542x = 457,572 × 457,572
  4. Step 4: Simplify right side
    214,542x = 209,372,135,184
  5. Step 5: Solve for x
    x = 209,372,135,184/214,542
  6. Step 6: Final answer
    x = 975,902.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.