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Finding the Third Proportional to 341,448 and 516,868

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Solution

The third proportional to 341,448 and 516,868 is: 782,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,448 : 516,868 = 516,868 : x
  2. Step 2: Convert to fraction form
    341,448/516,868 = 516,868/x
  3. Step 3: Cross multiply
    341,448x = 516,868 × 516,868
  4. Step 4: Simplify right side
    341,448x = 267,152,529,424
  5. Step 5: Solve for x
    x = 267,152,529,424/341,448
  6. Step 6: Final answer
    x = 782,410.58

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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.