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Finding the Third Proportional to 566,212.78 and 857,560.92

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Solution

The third proportional to 566,212.78 and 857,560.92 is: 1,298,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,212.78 : 857,560.92 = 857,560.92 : x
  2. Step 2: Convert to fraction form
    566,212.78/857,560.92 = 857,560.92/x
  3. Step 3: Cross multiply
    566,212.78x = 857,560.92 × 857,560.92
  4. Step 4: Simplify right side
    566,212.78x = 735,410,734,727.10
  5. Step 5: Solve for x
    x = 735,410,734,727.10/566,212.78
  6. Step 6: Final answer
    x = 1,298,823.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.