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Finding the Third Proportional to 379,930 and 810,708

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Solution

The third proportional to 379,930 and 810,708 is: 1,729,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,930 : 810,708 = 810,708 : x
  2. Step 2: Convert to fraction form
    379,930/810,708 = 810,708/x
  3. Step 3: Cross multiply
    379,930x = 810,708 × 810,708
  4. Step 4: Simplify right side
    379,930x = 657,247,461,264
  5. Step 5: Solve for x
    x = 657,247,461,264/379,930
  6. Step 6: Final answer
    x = 1,729,917.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.