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Finding the Third Proportional to 214,417 and 457,310

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Solution

The third proportional to 214,417 and 457,310 is: 975,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,417 : 457,310 = 457,310 : x
  2. Step 2: Convert to fraction form
    214,417/457,310 = 457,310/x
  3. Step 3: Cross multiply
    214,417x = 457,310 × 457,310
  4. Step 4: Simplify right side
    214,417x = 209,132,436,100
  5. Step 5: Solve for x
    x = 209,132,436,100/214,417
  6. Step 6: Final answer
    x = 975,353.80

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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.