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Finding the Third Proportional to 214,413 and 457,302

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Solution

The third proportional to 214,413 and 457,302 is: 975,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,413 : 457,302 = 457,302 : x
  2. Step 2: Convert to fraction form
    214,413/457,302 = 457,302/x
  3. Step 3: Cross multiply
    214,413x = 457,302 × 457,302
  4. Step 4: Simplify right side
    214,413x = 209,125,119,204
  5. Step 5: Solve for x
    x = 209,125,119,204/214,413
  6. Step 6: Final answer
    x = 975,337.87

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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.