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Finding the Third Proportional to 233,894 and 492,238.50

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Solution

The third proportional to 233,894 and 492,238.50 is: 1,035,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894 : 492,238.50 = 492,238.50 : x
  2. Step 2: Convert to fraction form
    233,894/492,238.50 = 492,238.50/x
  3. Step 3: Cross multiply
    233,894x = 492,238.50 × 492,238.50
  4. Step 4: Simplify right side
    233,894x = 242,298,740,882.25
  5. Step 5: Solve for x
    x = 242,298,740,882.25/233,894
  6. Step 6: Final answer
    x = 1,035,933.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.