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Finding the Third Proportional to 245,012 and 527,560

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Solution

The third proportional to 245,012 and 527,560 is: 1,135,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,012 : 527,560 = 527,560 : x
  2. Step 2: Convert to fraction form
    245,012/527,560 = 527,560/x
  3. Step 3: Cross multiply
    245,012x = 527,560 × 527,560
  4. Step 4: Simplify right side
    245,012x = 278,319,553,600
  5. Step 5: Solve for x
    x = 278,319,553,600/245,012
  6. Step 6: Final answer
    x = 1,135,942.54

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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.