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Finding the Third Proportional to 565,176 and 792,092

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Solution

The third proportional to 565,176 and 792,092 is: 1,110,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,176 : 792,092 = 792,092 : x
  2. Step 2: Convert to fraction form
    565,176/792,092 = 792,092/x
  3. Step 3: Cross multiply
    565,176x = 792,092 × 792,092
  4. Step 4: Simplify right side
    565,176x = 627,409,736,464
  5. Step 5: Solve for x
    x = 627,409,736,464/565,176
  6. Step 6: Final answer
    x = 1,110,113.91

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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.