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Finding the Third Proportional to 281,309 and 616,023

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Solution

The third proportional to 281,309 and 616,023 is: 1,348,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,309 : 616,023 = 616,023 : x
  2. Step 2: Convert to fraction form
    281,309/616,023 = 616,023/x
  3. Step 3: Cross multiply
    281,309x = 616,023 × 616,023
  4. Step 4: Simplify right side
    281,309x = 379,484,336,529
  5. Step 5: Solve for x
    x = 379,484,336,529/281,309
  6. Step 6: Final answer
    x = 1,348,994.65

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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.