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Finding the Third Proportional to 291,384 and 439,756

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Solution

The third proportional to 291,384 and 439,756 is: 663,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,384 : 439,756 = 439,756 : x
  2. Step 2: Convert to fraction form
    291,384/439,756 = 439,756/x
  3. Step 3: Cross multiply
    291,384x = 439,756 × 439,756
  4. Step 4: Simplify right side
    291,384x = 193,385,339,536
  5. Step 5: Solve for x
    x = 193,385,339,536/291,384
  6. Step 6: Final answer
    x = 663,678.65

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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.