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Finding the Third Proportional to 286,016 and 615,880

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Solution

The third proportional to 286,016 and 615,880 is: 1,326,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,016 : 615,880 = 615,880 : x
  2. Step 2: Convert to fraction form
    286,016/615,880 = 615,880/x
  3. Step 3: Cross multiply
    286,016x = 615,880 × 615,880
  4. Step 4: Simplify right side
    286,016x = 379,308,174,400
  5. Step 5: Solve for x
    x = 379,308,174,400/286,016
  6. Step 6: Final answer
    x = 1,326,178.17

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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.