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Finding the Third Proportional to 344,931 and 515,278.50

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Solution

The third proportional to 344,931 and 515,278.50 is: 769,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,931 : 515,278.50 = 515,278.50 : x
  2. Step 2: Convert to fraction form
    344,931/515,278.50 = 515,278.50/x
  3. Step 3: Cross multiply
    344,931x = 515,278.50 × 515,278.50
  4. Step 4: Simplify right side
    344,931x = 265,511,932,562.25
  5. Step 5: Solve for x
    x = 265,511,932,562.25/344,931
  6. Step 6: Final answer
    x = 769,753.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.