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Finding the Third Proportional to 548,754 and 824,592

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Solution

The third proportional to 548,754 and 824,592 is: 1,239,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,754 : 824,592 = 824,592 : x
  2. Step 2: Convert to fraction form
    548,754/824,592 = 824,592/x
  3. Step 3: Cross multiply
    548,754x = 824,592 × 824,592
  4. Step 4: Simplify right side
    548,754x = 679,951,966,464
  5. Step 5: Solve for x
    x = 679,951,966,464/548,754
  6. Step 6: Final answer
    x = 1,239,083.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.