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Finding the Third Proportional to 250,562.25 and 546,348.38

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Solution

The third proportional to 250,562.25 and 546,348.38 is: 1,191,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,562.25 : 546,348.38 = 546,348.38 : x
  2. Step 2: Convert to fraction form
    250,562.25/546,348.38 = 546,348.38/x
  3. Step 3: Cross multiply
    250,562.25x = 546,348.38 × 546,348.38
  4. Step 4: Simplify right side
    250,562.25x = 298,496,546,865.14
  5. Step 5: Solve for x
    x = 298,496,546,865.14/250,562.25
  6. Step 6: Final answer
    x = 1,191,306.94

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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.