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Finding the Third Proportional to 281,734 and 626,460

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Solution

The third proportional to 281,734 and 626,460 is: 1,392,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,734 : 626,460 = 626,460 : x
  2. Step 2: Convert to fraction form
    281,734/626,460 = 626,460/x
  3. Step 3: Cross multiply
    281,734x = 626,460 × 626,460
  4. Step 4: Simplify right side
    281,734x = 392,452,131,600
  5. Step 5: Solve for x
    x = 392,452,131,600/281,734
  6. Step 6: Final answer
    x = 1,392,988.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.