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Finding the Third Proportional to 281,302 and 616,009

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Solution

The third proportional to 281,302 and 616,009 is: 1,348,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,302 : 616,009 = 616,009 : x
  2. Step 2: Convert to fraction form
    281,302/616,009 = 616,009/x
  3. Step 3: Cross multiply
    281,302x = 616,009 × 616,009
  4. Step 4: Simplify right side
    281,302x = 379,467,088,081
  5. Step 5: Solve for x
    x = 379,467,088,081/281,302
  6. Step 6: Final answer
    x = 1,348,966.90

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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.