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Finding the Third Proportional to 245,042 and 527,628

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Solution

The third proportional to 245,042 and 527,628 is: 1,136,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,042 : 527,628 = 527,628 : x
  2. Step 2: Convert to fraction form
    245,042/527,628 = 527,628/x
  3. Step 3: Cross multiply
    245,042x = 527,628 × 527,628
  4. Step 4: Simplify right side
    245,042x = 278,391,306,384
  5. Step 5: Solve for x
    x = 278,391,306,384/245,042
  6. Step 6: Final answer
    x = 1,136,096.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.