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Finding the Third Proportional to 565,192 and 792,106

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Solution

The third proportional to 565,192 and 792,106 is: 1,110,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,192 : 792,106 = 792,106 : x
  2. Step 2: Convert to fraction form
    565,192/792,106 = 792,106/x
  3. Step 3: Cross multiply
    565,192x = 792,106 × 792,106
  4. Step 4: Simplify right side
    565,192x = 627,431,915,236
  5. Step 5: Solve for x
    x = 627,431,915,236/565,192
  6. Step 6: Final answer
    x = 1,110,121.72

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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.