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Finding the Third Proportional to 322,939.50 and 462,261

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Solution

The third proportional to 322,939.50 and 462,261 is: 661,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,939.50 : 462,261 = 462,261 : x
  2. Step 2: Convert to fraction form
    322,939.50/462,261 = 462,261/x
  3. Step 3: Cross multiply
    322,939.50x = 462,261 × 462,261
  4. Step 4: Simplify right side
    322,939.50x = 213,685,232,121
  5. Step 5: Solve for x
    x = 213,685,232,121/322,939.50
  6. Step 6: Final answer
    x = 661,688.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.