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Finding the Third Proportional to 281,106 and 572,625

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Solution

The third proportional to 281,106 and 572,625 is: 1,166,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,106 : 572,625 = 572,625 : x
  2. Step 2: Convert to fraction form
    281,106/572,625 = 572,625/x
  3. Step 3: Cross multiply
    281,106x = 572,625 × 572,625
  4. Step 4: Simplify right side
    281,106x = 327,899,390,625
  5. Step 5: Solve for x
    x = 327,899,390,625/281,106
  6. Step 6: Final answer
    x = 1,166,461.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.