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Finding the Third Proportional to 281,738 and 626,466

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Solution

The third proportional to 281,738 and 626,466 is: 1,392,995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,738 : 626,466 = 626,466 : x
  2. Step 2: Convert to fraction form
    281,738/626,466 = 626,466/x
  3. Step 3: Cross multiply
    281,738x = 626,466 × 626,466
  4. Step 4: Simplify right side
    281,738x = 392,459,649,156
  5. Step 5: Solve for x
    x = 392,459,649,156/281,738
  6. Step 6: Final answer
    x = 1,392,995.08

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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.