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Finding the Third Proportional to 360,583 and 560,535

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Solution

The third proportional to 360,583 and 560,535 is: 871,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,583 : 560,535 = 560,535 : x
  2. Step 2: Convert to fraction form
    360,583/560,535 = 560,535/x
  3. Step 3: Cross multiply
    360,583x = 560,535 × 560,535
  4. Step 4: Simplify right side
    360,583x = 314,199,486,225
  5. Step 5: Solve for x
    x = 314,199,486,225/360,583
  6. Step 6: Final answer
    x = 871,365.22

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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.