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Finding the Third Proportional to 259,646 and 567,352

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Solution

The third proportional to 259,646 and 567,352 is: 1,239,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,646 : 567,352 = 567,352 : x
  2. Step 2: Convert to fraction form
    259,646/567,352 = 567,352/x
  3. Step 3: Cross multiply
    259,646x = 567,352 × 567,352
  4. Step 4: Simplify right side
    259,646x = 321,888,291,904
  5. Step 5: Solve for x
    x = 321,888,291,904/259,646
  6. Step 6: Final answer
    x = 1,239,719.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.