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Finding the Third Proportional to 563,926 and 863,750

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Solution

The third proportional to 563,926 and 863,750 is: 1,322,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,926 : 863,750 = 863,750 : x
  2. Step 2: Convert to fraction form
    563,926/863,750 = 863,750/x
  3. Step 3: Cross multiply
    563,926x = 863,750 × 863,750
  4. Step 4: Simplify right side
    563,926x = 746,064,062,500
  5. Step 5: Solve for x
    x = 746,064,062,500/563,926
  6. Step 6: Final answer
    x = 1,322,982.20

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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.