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Finding the Third Proportional to 262,016 and 615,896

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Solution

The third proportional to 262,016 and 615,896 is: 1,447,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,016 : 615,896 = 615,896 : x
  2. Step 2: Convert to fraction form
    262,016/615,896 = 615,896/x
  3. Step 3: Cross multiply
    262,016x = 615,896 × 615,896
  4. Step 4: Simplify right side
    262,016x = 379,327,882,816
  5. Step 5: Solve for x
    x = 379,327,882,816/262,016
  6. Step 6: Final answer
    x = 1,447,727.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.