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Finding the Third Proportional to 299,184 and 645,934

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Solution

The third proportional to 299,184 and 645,934 is: 1,394,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,184 : 645,934 = 645,934 : x
  2. Step 2: Convert to fraction form
    299,184/645,934 = 645,934/x
  3. Step 3: Cross multiply
    299,184x = 645,934 × 645,934
  4. Step 4: Simplify right side
    299,184x = 417,230,732,356
  5. Step 5: Solve for x
    x = 417,230,732,356/299,184
  6. Step 6: Final answer
    x = 1,394,562.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.