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Finding the Third Proportional to 238,194 and 521,028

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Solution

The third proportional to 238,194 and 521,028 is: 1,139,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,194 : 521,028 = 521,028 : x
  2. Step 2: Convert to fraction form
    238,194/521,028 = 521,028/x
  3. Step 3: Cross multiply
    238,194x = 521,028 × 521,028
  4. Step 4: Simplify right side
    238,194x = 271,470,176,784
  5. Step 5: Solve for x
    x = 271,470,176,784/238,194
  6. Step 6: Final answer
    x = 1,139,701.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.