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Finding the Third Proportional to 281,424 and 616,391

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Solution

The third proportional to 281,424 and 616,391 is: 1,350,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,424 : 616,391 = 616,391 : x
  2. Step 2: Convert to fraction form
    281,424/616,391 = 616,391/x
  3. Step 3: Cross multiply
    281,424x = 616,391 × 616,391
  4. Step 4: Simplify right side
    281,424x = 379,937,864,881
  5. Step 5: Solve for x
    x = 379,937,864,881/281,424
  6. Step 6: Final answer
    x = 1,350,054.95

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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.