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Finding the Third Proportional to 448,486 and 695,147

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Solution

The third proportional to 448,486 and 695,147 is: 1,077,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,486 : 695,147 = 695,147 : x
  2. Step 2: Convert to fraction form
    448,486/695,147 = 695,147/x
  3. Step 3: Cross multiply
    448,486x = 695,147 × 695,147
  4. Step 4: Simplify right side
    448,486x = 483,229,351,609
  5. Step 5: Solve for x
    x = 483,229,351,609/448,486
  6. Step 6: Final answer
    x = 1,077,468.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.