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Finding the Third Proportional to 282,960 and 618,408

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Solution

The third proportional to 282,960 and 618,408 is: 1,351,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,960 : 618,408 = 618,408 : x
  2. Step 2: Convert to fraction form
    282,960/618,408 = 618,408/x
  3. Step 3: Cross multiply
    282,960x = 618,408 × 618,408
  4. Step 4: Simplify right side
    282,960x = 382,428,454,464
  5. Step 5: Solve for x
    x = 382,428,454,464/282,960
  6. Step 6: Final answer
    x = 1,351,528.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.