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Finding the Third Proportional to 214,747 and 457,932

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Solution

The third proportional to 214,747 and 457,932 is: 976,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,747 : 457,932 = 457,932 : x
  2. Step 2: Convert to fraction form
    214,747/457,932 = 457,932/x
  3. Step 3: Cross multiply
    214,747x = 457,932 × 457,932
  4. Step 4: Simplify right side
    214,747x = 209,701,716,624
  5. Step 5: Solve for x
    x = 209,701,716,624/214,747
  6. Step 6: Final answer
    x = 976,505.92

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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.