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Finding the Third Proportional to 614,472 and 1,258,462.50

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Solution

The third proportional to 614,472 and 1,258,462.50 is: 2,577,380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,472 : 1,258,462.50 = 1,258,462.50 : x
  2. Step 2: Convert to fraction form
    614,472/1,258,462.50 = 1,258,462.50/x
  3. Step 3: Cross multiply
    614,472x = 1,258,462.50 × 1,258,462.50
  4. Step 4: Simplify right side
    614,472x = 1,583,727,863,906.25
  5. Step 5: Solve for x
    x = 1,583,727,863,906.25/614,472
  6. Step 6: Final answer
    x = 2,577,380.03

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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.