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Finding the Third Proportional to 485,086 and 744,586

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Solution

The third proportional to 485,086 and 744,586 is: 1,142,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,086 : 744,586 = 744,586 : x
  2. Step 2: Convert to fraction form
    485,086/744,586 = 744,586/x
  3. Step 3: Cross multiply
    485,086x = 744,586 × 744,586
  4. Step 4: Simplify right side
    485,086x = 554,408,311,396
  5. Step 5: Solve for x
    x = 554,408,311,396/485,086
  6. Step 6: Final answer
    x = 1,142,907.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.