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Finding the Third Proportional to 465,147 and 700,443

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Solution

The third proportional to 465,147 and 700,443 is: 1,054,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,147 : 700,443 = 700,443 : x
  2. Step 2: Convert to fraction form
    465,147/700,443 = 700,443/x
  3. Step 3: Cross multiply
    465,147x = 700,443 × 700,443
  4. Step 4: Simplify right side
    465,147x = 490,620,396,249
  5. Step 5: Solve for x
    x = 490,620,396,249/465,147
  6. Step 6: Final answer
    x = 1,054,764.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.