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Finding the Third Proportional to 233,900 and 492,252

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Solution

The third proportional to 233,900 and 492,252 is: 1,035,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,900 : 492,252 = 492,252 : x
  2. Step 2: Convert to fraction form
    233,900/492,252 = 492,252/x
  3. Step 3: Cross multiply
    233,900x = 492,252 × 492,252
  4. Step 4: Simplify right side
    233,900x = 242,312,031,504
  5. Step 5: Solve for x
    x = 242,312,031,504/233,900
  6. Step 6: Final answer
    x = 1,035,964.22

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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.