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Finding the Third Proportional to 265,080 and 568,016

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Solution

The third proportional to 265,080 and 568,016 is: 1,217,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,080 : 568,016 = 568,016 : x
  2. Step 2: Convert to fraction form
    265,080/568,016 = 568,016/x
  3. Step 3: Cross multiply
    265,080x = 568,016 × 568,016
  4. Step 4: Simplify right side
    265,080x = 322,642,176,256
  5. Step 5: Solve for x
    x = 322,642,176,256/265,080
  6. Step 6: Final answer
    x = 1,217,150.20

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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.