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Finding the Third Proportional to 281,052 and 609,132

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Solution

The third proportional to 281,052 and 609,132 is: 1,320,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,052 : 609,132 = 609,132 : x
  2. Step 2: Convert to fraction form
    281,052/609,132 = 609,132/x
  3. Step 3: Cross multiply
    281,052x = 609,132 × 609,132
  4. Step 4: Simplify right side
    281,052x = 371,041,793,424
  5. Step 5: Solve for x
    x = 371,041,793,424/281,052
  6. Step 6: Final answer
    x = 1,320,189.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.