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Finding the Third Proportional to 565,404 and 792,408

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Solution

The third proportional to 565,404 and 792,408 is: 1,110,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,404 : 792,408 = 792,408 : x
  2. Step 2: Convert to fraction form
    565,404/792,408 = 792,408/x
  3. Step 3: Cross multiply
    565,404x = 792,408 × 792,408
  4. Step 4: Simplify right side
    565,404x = 627,910,438,464
  5. Step 5: Solve for x
    x = 627,910,438,464/565,404
  6. Step 6: Final answer
    x = 1,110,551.82

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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.