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Finding the Third Proportional to 341,494.31 and 501,177.38

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Solution

The third proportional to 341,494.31 and 501,177.38 is: 735,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,494.31 : 501,177.38 = 501,177.38 : x
  2. Step 2: Convert to fraction form
    341,494.31/501,177.38 = 501,177.38/x
  3. Step 3: Cross multiply
    341,494.31x = 501,177.38 × 501,177.38
  4. Step 4: Simplify right side
    341,494.31x = 251,178,761,211.89
  5. Step 5: Solve for x
    x = 251,178,761,211.89/341,494.31
  6. Step 6: Final answer
    x = 735,528.39

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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.