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Finding the Third Proportional to 270,016 and 583,344

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Solution

The third proportional to 270,016 and 583,344 is: 1,260,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,016 : 583,344 = 583,344 : x
  2. Step 2: Convert to fraction form
    270,016/583,344 = 583,344/x
  3. Step 3: Cross multiply
    270,016x = 583,344 × 583,344
  4. Step 4: Simplify right side
    270,016x = 340,290,222,336
  5. Step 5: Solve for x
    x = 340,290,222,336/270,016
  6. Step 6: Final answer
    x = 1,260,259.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.