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Finding the Third Proportional to 260,292 and 527,829

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Solution

The third proportional to 260,292 and 527,829 is: 1,070,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,292 : 527,829 = 527,829 : x
  2. Step 2: Convert to fraction form
    260,292/527,829 = 527,829/x
  3. Step 3: Cross multiply
    260,292x = 527,829 × 527,829
  4. Step 4: Simplify right side
    260,292x = 278,603,453,241
  5. Step 5: Solve for x
    x = 278,603,453,241/260,292
  6. Step 6: Final answer
    x = 1,070,349.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.