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Finding the Third Proportional to 565,184 and 792,104

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Solution

The third proportional to 565,184 and 792,104 is: 1,110,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,184 : 792,104 = 792,104 : x
  2. Step 2: Convert to fraction form
    565,184/792,104 = 792,104/x
  3. Step 3: Cross multiply
    565,184x = 792,104 × 792,104
  4. Step 4: Simplify right side
    565,184x = 627,428,746,816
  5. Step 5: Solve for x
    x = 627,428,746,816/565,184
  6. Step 6: Final answer
    x = 1,110,131.83

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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.