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Finding the Third Proportional to 565,158 and 792,185

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Solution

The third proportional to 565,158 and 792,185 is: 1,110,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,158 : 792,185 = 792,185 : x
  2. Step 2: Convert to fraction form
    565,158/792,185 = 792,185/x
  3. Step 3: Cross multiply
    565,158x = 792,185 × 792,185
  4. Step 4: Simplify right side
    565,158x = 627,557,074,225
  5. Step 5: Solve for x
    x = 627,557,074,225/565,158
  6. Step 6: Final answer
    x = 1,110,409.96

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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.