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Finding the Third Proportional to 375,256.50 and 552,961.50

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Solution

The third proportional to 375,256.50 and 552,961.50 is: 814,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,256.50 : 552,961.50 = 552,961.50 : x
  2. Step 2: Convert to fraction form
    375,256.50/552,961.50 = 552,961.50/x
  3. Step 3: Cross multiply
    375,256.50x = 552,961.50 × 552,961.50
  4. Step 4: Simplify right side
    375,256.50x = 305,766,420,482.25
  5. Step 5: Solve for x
    x = 305,766,420,482.25/375,256.50
  6. Step 6: Final answer
    x = 814,819.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.