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Finding the Third Proportional to 360,724 and 560,734

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Solution

The third proportional to 360,724 and 560,734 is: 871,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,724 : 560,734 = 560,734 : x
  2. Step 2: Convert to fraction form
    360,724/560,734 = 560,734/x
  3. Step 3: Cross multiply
    360,724x = 560,734 × 560,734
  4. Step 4: Simplify right side
    360,724x = 314,422,618,756
  5. Step 5: Solve for x
    x = 314,422,618,756/360,724
  6. Step 6: Final answer
    x = 871,643.19

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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.