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Finding the Third Proportional to 238,302 and 523,834

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Solution

The third proportional to 238,302 and 523,834 is: 1,151,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,302 : 523,834 = 523,834 : x
  2. Step 2: Convert to fraction form
    238,302/523,834 = 523,834/x
  3. Step 3: Cross multiply
    238,302x = 523,834 × 523,834
  4. Step 4: Simplify right side
    238,302x = 274,402,059,556
  5. Step 5: Solve for x
    x = 274,402,059,556/238,302
  6. Step 6: Final answer
    x = 1,151,488.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.