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Finding the Third Proportional to 281,981 and 610,426

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Solution

The third proportional to 281,981 and 610,426 is: 1,321,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,981 : 610,426 = 610,426 : x
  2. Step 2: Convert to fraction form
    281,981/610,426 = 610,426/x
  3. Step 3: Cross multiply
    281,981x = 610,426 × 610,426
  4. Step 4: Simplify right side
    281,981x = 372,619,901,476
  5. Step 5: Solve for x
    x = 372,619,901,476/281,981
  6. Step 6: Final answer
    x = 1,321,436.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.