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Finding the Third Proportional to 563,778.98 and 1,229,310.42

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Solution

The third proportional to 563,778.98 and 1,229,310.42 is: 2,680,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,778.98 : 1,229,310.42 = 1,229,310.42 : x
  2. Step 2: Convert to fraction form
    563,778.98/1,229,310.42 = 1,229,310.42/x
  3. Step 3: Cross multiply
    563,778.98x = 1,229,310.42 × 1,229,310.42
  4. Step 4: Simplify right side
    563,778.98x = 1,511,204,113,330.49
  5. Step 5: Solve for x
    x = 1,511,204,113,330.49/563,778.98
  6. Step 6: Final answer
    x = 2,680,490.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.