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Finding the Third Proportional to 281,955 and 610,374

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Solution

The third proportional to 281,955 and 610,374 is: 1,321,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,955 : 610,374 = 610,374 : x
  2. Step 2: Convert to fraction form
    281,955/610,374 = 610,374/x
  3. Step 3: Cross multiply
    281,955x = 610,374 × 610,374
  4. Step 4: Simplify right side
    281,955x = 372,556,419,876
  5. Step 5: Solve for x
    x = 372,556,419,876/281,955
  6. Step 6: Final answer
    x = 1,321,332.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.