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Finding the Third Proportional to 360,579 and 560,529

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Solution

The third proportional to 360,579 and 560,529 is: 871,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,579 : 560,529 = 560,529 : x
  2. Step 2: Convert to fraction form
    360,579/560,529 = 560,529/x
  3. Step 3: Cross multiply
    360,579x = 560,529 × 560,529
  4. Step 4: Simplify right side
    360,579x = 314,192,759,841
  5. Step 5: Solve for x
    x = 314,192,759,841/360,579
  6. Step 6: Final answer
    x = 871,356.23

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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.