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Finding the Third Proportional to 375,232.75 and 561,822.75

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Solution

The third proportional to 375,232.75 and 561,822.75 is: 841,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,232.75 : 561,822.75 = 561,822.75 : x
  2. Step 2: Convert to fraction form
    375,232.75/561,822.75 = 561,822.75/x
  3. Step 3: Cross multiply
    375,232.75x = 561,822.75 × 561,822.75
  4. Step 4: Simplify right side
    375,232.75x = 315,644,802,417.56
  5. Step 5: Solve for x
    x = 315,644,802,417.56/375,232.75
  6. Step 6: Final answer
    x = 841,197.37

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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.