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Finding the Third Proportional to 238,974 and 521,426

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Solution

The third proportional to 238,974 and 521,426 is: 1,137,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,974 : 521,426 = 521,426 : x
  2. Step 2: Convert to fraction form
    238,974/521,426 = 521,426/x
  3. Step 3: Cross multiply
    238,974x = 521,426 × 521,426
  4. Step 4: Simplify right side
    238,974x = 271,885,073,476
  5. Step 5: Solve for x
    x = 271,885,073,476/238,974
  6. Step 6: Final answer
    x = 1,137,718.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.