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Finding the Third Proportional to 409,049 and 955,368

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Solution

The third proportional to 409,049 and 955,368 is: 2,231,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,049 : 955,368 = 955,368 : x
  2. Step 2: Convert to fraction form
    409,049/955,368 = 955,368/x
  3. Step 3: Cross multiply
    409,049x = 955,368 × 955,368
  4. Step 4: Simplify right side
    409,049x = 912,728,015,424
  5. Step 5: Solve for x
    x = 912,728,015,424/409,049
  6. Step 6: Final answer
    x = 2,231,341.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.