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Finding the Third Proportional to 365,874 and 801,708

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Solution

The third proportional to 365,874 and 801,708 is: 1,756,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,874 : 801,708 = 801,708 : x
  2. Step 2: Convert to fraction form
    365,874/801,708 = 801,708/x
  3. Step 3: Cross multiply
    365,874x = 801,708 × 801,708
  4. Step 4: Simplify right side
    365,874x = 642,735,717,264
  5. Step 5: Solve for x
    x = 642,735,717,264/365,874
  6. Step 6: Final answer
    x = 1,756,713.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.