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Finding the Third Proportional to 296,665 and 614,357

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Solution

The third proportional to 296,665 and 614,357 is: 1,272,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,665 : 614,357 = 614,357 : x
  2. Step 2: Convert to fraction form
    296,665/614,357 = 614,357/x
  3. Step 3: Cross multiply
    296,665x = 614,357 × 614,357
  4. Step 4: Simplify right side
    296,665x = 377,434,523,449
  5. Step 5: Solve for x
    x = 377,434,523,449/296,665
  6. Step 6: Final answer
    x = 1,272,258.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.