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Finding the Third Proportional to 360,562.50 and 560,508.75

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Solution

The third proportional to 360,562.50 and 560,508.75 is: 871,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,562.50 : 560,508.75 = 560,508.75 : x
  2. Step 2: Convert to fraction form
    360,562.50/560,508.75 = 560,508.75/x
  3. Step 3: Cross multiply
    360,562.50x = 560,508.75 × 560,508.75
  4. Step 4: Simplify right side
    360,562.50x = 314,170,058,826.56
  5. Step 5: Solve for x
    x = 314,170,058,826.56/360,562.50
  6. Step 6: Final answer
    x = 871,333.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.