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Finding the Third Proportional to 281,637 and 576,396

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Solution

The third proportional to 281,637 and 576,396 is: 1,179,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,637 : 576,396 = 576,396 : x
  2. Step 2: Convert to fraction form
    281,637/576,396 = 576,396/x
  3. Step 3: Cross multiply
    281,637x = 576,396 × 576,396
  4. Step 4: Simplify right side
    281,637x = 332,232,348,816
  5. Step 5: Solve for x
    x = 332,232,348,816/281,637
  6. Step 6: Final answer
    x = 1,179,647.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.