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Finding the Third Proportional to 412,902 and 611,678

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Solution

The third proportional to 412,902 and 611,678 is: 906,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,902 : 611,678 = 611,678 : x
  2. Step 2: Convert to fraction form
    412,902/611,678 = 611,678/x
  3. Step 3: Cross multiply
    412,902x = 611,678 × 611,678
  4. Step 4: Simplify right side
    412,902x = 374,149,975,684
  5. Step 5: Solve for x
    x = 374,149,975,684/412,902
  6. Step 6: Final answer
    x = 906,147.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.