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Finding the Third Proportional to 557,266.50 and 1,221,327

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Solution

The third proportional to 557,266.50 and 1,221,327 is: 2,676,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,266.50 : 1,221,327 = 1,221,327 : x
  2. Step 2: Convert to fraction form
    557,266.50/1,221,327 = 1,221,327/x
  3. Step 3: Cross multiply
    557,266.50x = 1,221,327 × 1,221,327
  4. Step 4: Simplify right side
    557,266.50x = 1,491,639,640,929
  5. Step 5: Solve for x
    x = 1,491,639,640,929/557,266.50
  6. Step 6: Final answer
    x = 2,676,707.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.