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Finding the Third Proportional to 614,469.38 and 1,258,456.50

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Solution

The third proportional to 614,469.38 and 1,258,456.50 is: 2,577,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,469.38 : 1,258,456.50 = 1,258,456.50 : x
  2. Step 2: Convert to fraction form
    614,469.38/1,258,456.50 = 1,258,456.50/x
  3. Step 3: Cross multiply
    614,469.38x = 1,258,456.50 × 1,258,456.50
  4. Step 4: Simplify right side
    614,469.38x = 1,583,712,762,392.25
  5. Step 5: Solve for x
    x = 1,583,712,762,392.25/614,469.38
  6. Step 6: Final answer
    x = 2,577,366.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.