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Finding the Third Proportional to 565,378 and 792,367

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Solution

The third proportional to 565,378 and 792,367 is: 1,110,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,378 : 792,367 = 792,367 : x
  2. Step 2: Convert to fraction form
    565,378/792,367 = 792,367/x
  3. Step 3: Cross multiply
    565,378x = 792,367 × 792,367
  4. Step 4: Simplify right side
    565,378x = 627,845,462,689
  5. Step 5: Solve for x
    x = 627,845,462,689/565,378
  6. Step 6: Final answer
    x = 1,110,487.96

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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.