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Finding the Third Proportional to 565,418 and 792,429

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Solution

The third proportional to 565,418 and 792,429 is: 1,110,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,418 : 792,429 = 792,429 : x
  2. Step 2: Convert to fraction form
    565,418/792,429 = 792,429/x
  3. Step 3: Cross multiply
    565,418x = 792,429 × 792,429
  4. Step 4: Simplify right side
    565,418x = 627,943,720,041
  5. Step 5: Solve for x
    x = 627,943,720,041/565,418
  6. Step 6: Final answer
    x = 1,110,583.18

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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.