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Finding the Third Proportional to 375,277.50 and 561,044.25

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Solution

The third proportional to 375,277.50 and 561,044.25 is: 838,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,277.50 : 561,044.25 = 561,044.25 : x
  2. Step 2: Convert to fraction form
    375,277.50/561,044.25 = 561,044.25/x
  3. Step 3: Cross multiply
    375,277.50x = 561,044.25 × 561,044.25
  4. Step 4: Simplify right side
    375,277.50x = 314,770,650,458.06
  5. Step 5: Solve for x
    x = 314,770,650,458.06/375,277.50
  6. Step 6: Final answer
    x = 838,767.71

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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.