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Finding the Third Proportional to 281,542 and 607,094

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Solution

The third proportional to 281,542 and 607,094 is: 1,309,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,542 : 607,094 = 607,094 : x
  2. Step 2: Convert to fraction form
    281,542/607,094 = 607,094/x
  3. Step 3: Cross multiply
    281,542x = 607,094 × 607,094
  4. Step 4: Simplify right side
    281,542x = 368,563,124,836
  5. Step 5: Solve for x
    x = 368,563,124,836/281,542
  6. Step 6: Final answer
    x = 1,309,087.54

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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.