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Finding the Third Proportional to 563,016 and 873,092

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Solution

The third proportional to 563,016 and 873,092 is: 1,353,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,016 : 873,092 = 873,092 : x
  2. Step 2: Convert to fraction form
    563,016/873,092 = 873,092/x
  3. Step 3: Cross multiply
    563,016x = 873,092 × 873,092
  4. Step 4: Simplify right side
    563,016x = 762,289,640,464
  5. Step 5: Solve for x
    x = 762,289,640,464/563,016
  6. Step 6: Final answer
    x = 1,353,939.57

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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.