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Finding the Third Proportional to 299,567 and 652,034

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Solution

The third proportional to 299,567 and 652,034 is: 1,419,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,567 : 652,034 = 652,034 : x
  2. Step 2: Convert to fraction form
    299,567/652,034 = 652,034/x
  3. Step 3: Cross multiply
    299,567x = 652,034 × 652,034
  4. Step 4: Simplify right side
    299,567x = 425,148,337,156
  5. Step 5: Solve for x
    x = 425,148,337,156/299,567
  6. Step 6: Final answer
    x = 1,419,209.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.