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Finding the Third Proportional to 230,029.88 and 492,864.75

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Solution

The third proportional to 230,029.88 and 492,864.75 is: 1,056,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,029.88 : 492,864.75 = 492,864.75 : x
  2. Step 2: Convert to fraction form
    230,029.88/492,864.75 = 492,864.75/x
  3. Step 3: Cross multiply
    230,029.88x = 492,864.75 × 492,864.75
  4. Step 4: Simplify right side
    230,029.88x = 242,915,661,792.56
  5. Step 5: Solve for x
    x = 242,915,661,792.56/230,029.88
  6. Step 6: Final answer
    x = 1,056,017.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.