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Finding the Third Proportional to 582,408 and 877,716

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Solution

The third proportional to 582,408 and 877,716 is: 1,322,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,408 : 877,716 = 877,716 : x
  2. Step 2: Convert to fraction form
    582,408/877,716 = 877,716/x
  3. Step 3: Cross multiply
    582,408x = 877,716 × 877,716
  4. Step 4: Simplify right side
    582,408x = 770,385,376,656
  5. Step 5: Solve for x
    x = 770,385,376,656/582,408
  6. Step 6: Final answer
    x = 1,322,758.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.