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Finding the Third Proportional to 565,166 and 792,079

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Solution

The third proportional to 565,166 and 792,079 is: 1,110,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,166 : 792,079 = 792,079 : x
  2. Step 2: Convert to fraction form
    565,166/792,079 = 792,079/x
  3. Step 3: Cross multiply
    565,166x = 792,079 × 792,079
  4. Step 4: Simplify right side
    565,166x = 627,389,142,241
  5. Step 5: Solve for x
    x = 627,389,142,241/565,166
  6. Step 6: Final answer
    x = 1,110,097.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.