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Finding the Third Proportional to 265,789.13 and 568,460.25

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Solution

The third proportional to 265,789.13 and 568,460.25 is: 1,215,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,789.13 : 568,460.25 = 568,460.25 : x
  2. Step 2: Convert to fraction form
    265,789.13/568,460.25 = 568,460.25/x
  3. Step 3: Cross multiply
    265,789.13x = 568,460.25 × 568,460.25
  4. Step 4: Simplify right side
    265,789.13x = 323,147,055,830.06
  5. Step 5: Solve for x
    x = 323,147,055,830.06/265,789.13
  6. Step 6: Final answer
    x = 1,215,802.40

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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.