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Finding the Third Proportional to 341,500.75 and 501,179.13

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Solution

The third proportional to 341,500.75 and 501,179.13 is: 735,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,500.75 : 501,179.13 = 501,179.13 : x
  2. Step 2: Convert to fraction form
    341,500.75/501,179.13 = 501,179.13/x
  3. Step 3: Cross multiply
    341,500.75x = 501,179.13 × 501,179.13
  4. Step 4: Simplify right side
    341,500.75x = 251,180,515,335.77
  5. Step 5: Solve for x
    x = 251,180,515,335.77/341,500.75
  6. Step 6: Final answer
    x = 735,519.66

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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.