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Finding the Third Proportional to 259,748 and 558,952

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Solution

The third proportional to 259,748 and 558,952 is: 1,202,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,748 : 558,952 = 558,952 : x
  2. Step 2: Convert to fraction form
    259,748/558,952 = 558,952/x
  3. Step 3: Cross multiply
    259,748x = 558,952 × 558,952
  4. Step 4: Simplify right side
    259,748x = 312,427,338,304
  5. Step 5: Solve for x
    x = 312,427,338,304/259,748
  6. Step 6: Final answer
    x = 1,202,809.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.