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Finding the Third Proportional to 576,708 and 1,265,684

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Solution

The third proportional to 576,708 and 1,265,684 is: 2,777,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,708 : 1,265,684 = 1,265,684 : x
  2. Step 2: Convert to fraction form
    576,708/1,265,684 = 1,265,684/x
  3. Step 3: Cross multiply
    576,708x = 1,265,684 × 1,265,684
  4. Step 4: Simplify right side
    576,708x = 1,601,955,987,856
  5. Step 5: Solve for x
    x = 1,601,955,987,856/576,708
  6. Step 6: Final answer
    x = 2,777,759.26

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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.