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Finding the Third Proportional to 296,661 and 614,349

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Solution

The third proportional to 296,661 and 614,349 is: 1,272,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,661 : 614,349 = 614,349 : x
  2. Step 2: Convert to fraction form
    296,661/614,349 = 614,349/x
  3. Step 3: Cross multiply
    296,661x = 614,349 × 614,349
  4. Step 4: Simplify right side
    296,661x = 377,424,693,801
  5. Step 5: Solve for x
    x = 377,424,693,801/296,661
  6. Step 6: Final answer
    x = 1,272,242.37

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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.