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Finding the Third Proportional to 375,171.75 and 561,726.56

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Solution

The third proportional to 375,171.75 and 561,726.56 is: 841,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,171.75 : 561,726.56 = 561,726.56 : x
  2. Step 2: Convert to fraction form
    375,171.75/561,726.56 = 561,726.56/x
  3. Step 3: Cross multiply
    375,171.75x = 561,726.56 × 561,726.56
  4. Step 4: Simplify right side
    375,171.75x = 315,536,731,018.07
  5. Step 5: Solve for x
    x = 315,536,731,018.07/375,171.75
  6. Step 6: Final answer
    x = 841,046.08

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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.