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Finding the Third Proportional to 409,016 and 955,280

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Solution

The third proportional to 409,016 and 955,280 is: 2,231,110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,016 : 955,280 = 955,280 : x
  2. Step 2: Convert to fraction form
    409,016/955,280 = 955,280/x
  3. Step 3: Cross multiply
    409,016x = 955,280 × 955,280
  4. Step 4: Simplify right side
    409,016x = 912,559,878,400
  5. Step 5: Solve for x
    x = 912,559,878,400/409,016
  6. Step 6: Final answer
    x = 2,231,110.47

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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.