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Finding the Third Proportional to 563,892 and 863,700

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Solution

The third proportional to 563,892 and 863,700 is: 1,322,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,892 : 863,700 = 863,700 : x
  2. Step 2: Convert to fraction form
    563,892/863,700 = 863,700/x
  3. Step 3: Cross multiply
    563,892x = 863,700 × 863,700
  4. Step 4: Simplify right side
    563,892x = 745,977,690,000
  5. Step 5: Solve for x
    x = 745,977,690,000/563,892
  6. Step 6: Final answer
    x = 1,322,908.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.