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Finding the Third Proportional to 543,354.75 and 824,266.13

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Solution

The third proportional to 543,354.75 and 824,266.13 is: 1,250,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,354.75 : 824,266.13 = 824,266.13 : x
  2. Step 2: Convert to fraction form
    543,354.75/824,266.13 = 824,266.13/x
  3. Step 3: Cross multiply
    543,354.75x = 824,266.13 × 824,266.13
  4. Step 4: Simplify right side
    543,354.75x = 679,414,644,822.52
  5. Step 5: Solve for x
    x = 679,414,644,822.52/543,354.75
  6. Step 6: Final answer
    x = 1,250,407.11

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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.