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Finding the Third Proportional to 262,768 and 595,684

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Solution

The third proportional to 262,768 and 595,684 is: 1,350,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,768 : 595,684 = 595,684 : x
  2. Step 2: Convert to fraction form
    262,768/595,684 = 595,684/x
  3. Step 3: Cross multiply
    262,768x = 595,684 × 595,684
  4. Step 4: Simplify right side
    262,768x = 354,839,427,856
  5. Step 5: Solve for x
    x = 354,839,427,856/262,768
  6. Step 6: Final answer
    x = 1,350,390.56

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.