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Finding the Third Proportional to 194,428 and 404,374

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Solution

The third proportional to 194,428 and 404,374 is: 841,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,428 : 404,374 = 404,374 : x
  2. Step 2: Convert to fraction form
    194,428/404,374 = 404,374/x
  3. Step 3: Cross multiply
    194,428x = 404,374 × 404,374
  4. Step 4: Simplify right side
    194,428x = 163,518,331,876
  5. Step 5: Solve for x
    x = 163,518,331,876/194,428
  6. Step 6: Final answer
    x = 841,022.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.