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Finding the Third Proportional to 238,831.50 and 503,583

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Solution

The third proportional to 238,831.50 and 503,583 is: 1,061,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,831.50 : 503,583 = 503,583 : x
  2. Step 2: Convert to fraction form
    238,831.50/503,583 = 503,583/x
  3. Step 3: Cross multiply
    238,831.50x = 503,583 × 503,583
  4. Step 4: Simplify right side
    238,831.50x = 253,595,837,889
  5. Step 5: Solve for x
    x = 253,595,837,889/238,831.50
  6. Step 6: Final answer
    x = 1,061,819.06

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.