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Finding the Third Proportional to 360,569.25 and 560,520

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Solution

The third proportional to 360,569.25 and 560,520 is: 871,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,569.25 : 560,520 = 560,520 : x
  2. Step 2: Convert to fraction form
    360,569.25/560,520 = 560,520/x
  3. Step 3: Cross multiply
    360,569.25x = 560,520 × 560,520
  4. Step 4: Simplify right side
    360,569.25x = 314,182,670,400
  5. Step 5: Solve for x
    x = 314,182,670,400/360,569.25
  6. Step 6: Final answer
    x = 871,351.81

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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.