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Finding the Third Proportional to 360,603.25 and 560,581.13

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Solution

The third proportional to 360,603.25 and 560,581.13 is: 871,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,603.25 : 560,581.13 = 560,581.13 : x
  2. Step 2: Convert to fraction form
    360,603.25/560,581.13 = 560,581.13/x
  3. Step 3: Cross multiply
    360,603.25x = 560,581.13 × 560,581.13
  4. Step 4: Simplify right side
    360,603.25x = 314,251,197,706.27
  5. Step 5: Solve for x
    x = 314,251,197,706.27/360,603.25
  6. Step 6: Final answer
    x = 871,459.69

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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.