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Finding the Third Proportional to 497,110 and 760,109

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Solution

The third proportional to 497,110 and 760,109 is: 1,162,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,110 : 760,109 = 760,109 : x
  2. Step 2: Convert to fraction form
    497,110/760,109 = 760,109/x
  3. Step 3: Cross multiply
    497,110x = 760,109 × 760,109
  4. Step 4: Simplify right side
    497,110x = 577,765,691,881
  5. Step 5: Solve for x
    x = 577,765,691,881/497,110
  6. Step 6: Final answer
    x = 1,162,249.18

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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.