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Finding the Third Proportional to 564,844.88 and 860,502.38

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Solution

The third proportional to 564,844.88 and 860,502.38 is: 1,310,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,844.88 : 860,502.38 = 860,502.38 : x
  2. Step 2: Convert to fraction form
    564,844.88/860,502.38 = 860,502.38/x
  3. Step 3: Cross multiply
    564,844.88x = 860,502.38 × 860,502.38
  4. Step 4: Simplify right side
    564,844.88x = 740,464,337,380.64
  5. Step 5: Solve for x
    x = 740,464,337,380.64/564,844.88
  6. Step 6: Final answer
    x = 1,310,916.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.