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Finding the Third Proportional to 360,672.75 and 560,697.19

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Solution

The third proportional to 360,672.75 and 560,697.19 is: 871,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,672.75 : 560,697.19 = 560,697.19 : x
  2. Step 2: Convert to fraction form
    360,672.75/560,697.19 = 560,697.19/x
  3. Step 3: Cross multiply
    360,672.75x = 560,697.19 × 560,697.19
  4. Step 4: Simplify right side
    360,672.75x = 314,381,336,070.41
  5. Step 5: Solve for x
    x = 314,381,336,070.41/360,672.75
  6. Step 6: Final answer
    x = 871,652.59

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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.