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Finding the Third Proportional to 457,874 and 928,687.50

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Solution

The third proportional to 457,874 and 928,687.50 is: 1,883,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,874 : 928,687.50 = 928,687.50 : x
  2. Step 2: Convert to fraction form
    457,874/928,687.50 = 928,687.50/x
  3. Step 3: Cross multiply
    457,874x = 928,687.50 × 928,687.50
  4. Step 4: Simplify right side
    457,874x = 862,460,472,656.25
  5. Step 5: Solve for x
    x = 862,460,472,656.25/457,874
  6. Step 6: Final answer
    x = 1,883,619.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.