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Finding the Third Proportional to 778,281.75 and 994,462.88

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Solution

The third proportional to 778,281.75 and 994,462.88 is: 1,270,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,281.75 : 994,462.88 = 994,462.88 : x
  2. Step 2: Convert to fraction form
    778,281.75/994,462.88 = 994,462.88/x
  3. Step 3: Cross multiply
    778,281.75x = 994,462.88 × 994,462.88
  4. Step 4: Simplify right side
    778,281.75x = 988,956,409,753.27
  5. Step 5: Solve for x
    x = 988,956,409,753.27/778,281.75
  6. Step 6: Final answer
    x = 1,270,692.02

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.