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Finding the Third Proportional to 360,581 and 560,532

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Solution

The third proportional to 360,581 and 560,532 is: 871,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,581 : 560,532 = 560,532 : x
  2. Step 2: Convert to fraction form
    360,581/560,532 = 560,532/x
  3. Step 3: Cross multiply
    360,581x = 560,532 × 560,532
  4. Step 4: Simplify right side
    360,581x = 314,196,123,024
  5. Step 5: Solve for x
    x = 314,196,123,024/360,581
  6. Step 6: Final answer
    x = 871,360.73

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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.