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Finding the Third Proportional to 282,408 and 550,624

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Solution

The third proportional to 282,408 and 550,624 is: 1,073,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,408 : 550,624 = 550,624 : x
  2. Step 2: Convert to fraction form
    282,408/550,624 = 550,624/x
  3. Step 3: Cross multiply
    282,408x = 550,624 × 550,624
  4. Step 4: Simplify right side
    282,408x = 303,186,789,376
  5. Step 5: Solve for x
    x = 303,186,789,376/282,408
  6. Step 6: Final answer
    x = 1,073,577.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.