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Finding the Third Proportional to 281,324 and 616,008

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Solution

The third proportional to 281,324 and 616,008 is: 1,348,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,324 : 616,008 = 616,008 : x
  2. Step 2: Convert to fraction form
    281,324/616,008 = 616,008/x
  3. Step 3: Cross multiply
    281,324x = 616,008 × 616,008
  4. Step 4: Simplify right side
    281,324x = 379,465,856,064
  5. Step 5: Solve for x
    x = 379,465,856,064/281,324
  6. Step 6: Final answer
    x = 1,348,857.03

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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.