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Finding the Third Proportional to 265,995 and 568,854

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Solution

The third proportional to 265,995 and 568,854 is: 1,216,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,995 : 568,854 = 568,854 : x
  2. Step 2: Convert to fraction form
    265,995/568,854 = 568,854/x
  3. Step 3: Cross multiply
    265,995x = 568,854 × 568,854
  4. Step 4: Simplify right side
    265,995x = 323,594,873,316
  5. Step 5: Solve for x
    x = 323,594,873,316/265,995
  6. Step 6: Final answer
    x = 1,216,544.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.