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Finding the Third Proportional to 281,298 and 616,002

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Solution

The third proportional to 281,298 and 616,002 is: 1,348,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,298 : 616,002 = 616,002 : x
  2. Step 2: Convert to fraction form
    281,298/616,002 = 616,002/x
  3. Step 3: Cross multiply
    281,298x = 616,002 × 616,002
  4. Step 4: Simplify right side
    281,298x = 379,458,464,004
  5. Step 5: Solve for x
    x = 379,458,464,004/281,298
  6. Step 6: Final answer
    x = 1,348,955.43

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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.