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Finding the Third Proportional to 282,932 and 384,482

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Solution

The third proportional to 282,932 and 384,482 is: 522,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,932 : 384,482 = 384,482 : x
  2. Step 2: Convert to fraction form
    282,932/384,482 = 384,482/x
  3. Step 3: Cross multiply
    282,932x = 384,482 × 384,482
  4. Step 4: Simplify right side
    282,932x = 147,826,408,324
  5. Step 5: Solve for x
    x = 147,826,408,324/282,932
  6. Step 6: Final answer
    x = 522,480.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.