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Finding the Third Proportional to 296,802 and 415,179

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Solution

The third proportional to 296,802 and 415,179 is: 580,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,802 : 415,179 = 415,179 : x
  2. Step 2: Convert to fraction form
    296,802/415,179 = 415,179/x
  3. Step 3: Cross multiply
    296,802x = 415,179 × 415,179
  4. Step 4: Simplify right side
    296,802x = 172,373,602,041
  5. Step 5: Solve for x
    x = 172,373,602,041/296,802
  6. Step 6: Final answer
    x = 580,769.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.