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Finding the Third Proportional to 375,227.75 and 561,815.50

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Solution

The third proportional to 375,227.75 and 561,815.50 is: 841,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,227.75 : 561,815.50 = 561,815.50 : x
  2. Step 2: Convert to fraction form
    375,227.75/561,815.50 = 561,815.50/x
  3. Step 3: Cross multiply
    375,227.75x = 561,815.50 × 561,815.50
  4. Step 4: Simplify right side
    375,227.75x = 315,636,656,040.25
  5. Step 5: Solve for x
    x = 315,636,656,040.25/375,227.75
  6. Step 6: Final answer
    x = 841,186.87

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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.