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Finding the Third Proportional to 214,498 and 457,484

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Solution

The third proportional to 214,498 and 457,484 is: 975,727.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,498 : 457,484 = 457,484 : x
  2. Step 2: Convert to fraction form
    214,498/457,484 = 457,484/x
  3. Step 3: Cross multiply
    214,498x = 457,484 × 457,484
  4. Step 4: Simplify right side
    214,498x = 209,291,610,256
  5. Step 5: Solve for x
    x = 209,291,610,256/214,498
  6. Step 6: Final answer
    x = 975,727.56

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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.