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Finding the Third Proportional to 265,439.53 and 568,244.11

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Solution

The third proportional to 265,439.53 and 568,244.11 is: 1,216,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,439.53 : 568,244.11 = 568,244.11 : x
  2. Step 2: Convert to fraction form
    265,439.53/568,244.11 = 568,244.11/x
  3. Step 3: Cross multiply
    265,439.53x = 568,244.11 × 568,244.11
  4. Step 4: Simplify right side
    265,439.53x = 322,901,367,839.39
  5. Step 5: Solve for x
    x = 322,901,367,839.39/265,439.53
  6. Step 6: Final answer
    x = 1,216,478.07

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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.