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Finding the Third Proportional to 375,230.75 and 561,819.75

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Solution

The third proportional to 375,230.75 and 561,819.75 is: 841,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,230.75 : 561,819.75 = 561,819.75 : x
  2. Step 2: Convert to fraction form
    375,230.75/561,819.75 = 561,819.75/x
  3. Step 3: Cross multiply
    375,230.75x = 561,819.75 × 561,819.75
  4. Step 4: Simplify right side
    375,230.75x = 315,641,431,490.06
  5. Step 5: Solve for x
    x = 315,641,431,490.06/375,230.75
  6. Step 6: Final answer
    x = 841,192.87

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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.