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Finding the Third Proportional to 282,369 and 550,548

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Solution

The third proportional to 282,369 and 550,548 is: 1,073,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,369 : 550,548 = 550,548 : x
  2. Step 2: Convert to fraction form
    282,369/550,548 = 550,548/x
  3. Step 3: Cross multiply
    282,369x = 550,548 × 550,548
  4. Step 4: Simplify right side
    282,369x = 303,103,100,304
  5. Step 5: Solve for x
    x = 303,103,100,304/282,369
  6. Step 6: Final answer
    x = 1,073,429.10

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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.