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Finding the Third Proportional to 563,878.50 and 1,221,249

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Solution

The third proportional to 563,878.50 and 1,221,249 is: 2,644,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,878.50 : 1,221,249 = 1,221,249 : x
  2. Step 2: Convert to fraction form
    563,878.50/1,221,249 = 1,221,249/x
  3. Step 3: Cross multiply
    563,878.50x = 1,221,249 × 1,221,249
  4. Step 4: Simplify right side
    563,878.50x = 1,491,449,120,001
  5. Step 5: Solve for x
    x = 1,491,449,120,001/563,878.50
  6. Step 6: Final answer
    x = 2,644,983.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.