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Finding the Third Proportional to 650,463.75 and 1,001,058.75

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Solution

The third proportional to 650,463.75 and 1,001,058.75 is: 1,540,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,463.75 : 1,001,058.75 = 1,001,058.75 : x
  2. Step 2: Convert to fraction form
    650,463.75/1,001,058.75 = 1,001,058.75/x
  3. Step 3: Cross multiply
    650,463.75x = 1,001,058.75 × 1,001,058.75
  4. Step 4: Simplify right side
    650,463.75x = 1,002,118,620,951.56
  5. Step 5: Solve for x
    x = 1,002,118,620,951.56/650,463.75
  6. Step 6: Final answer
    x = 1,540,621.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.