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Finding the Third Proportional to 397,151 and 606,118

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Solution

The third proportional to 397,151 and 606,118 is: 925,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,151 : 606,118 = 606,118 : x
  2. Step 2: Convert to fraction form
    397,151/606,118 = 606,118/x
  3. Step 3: Cross multiply
    397,151x = 606,118 × 606,118
  4. Step 4: Simplify right side
    397,151x = 367,379,029,924
  5. Step 5: Solve for x
    x = 367,379,029,924/397,151
  6. Step 6: Final answer
    x = 925,036.14

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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.