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Finding the Third Proportional to 286,233.75 and 454,636.13

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Solution

The third proportional to 286,233.75 and 454,636.13 is: 722,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,233.75 : 454,636.13 = 454,636.13 : x
  2. Step 2: Convert to fraction form
    286,233.75/454,636.13 = 454,636.13/x
  3. Step 3: Cross multiply
    286,233.75x = 454,636.13 × 454,636.13
  4. Step 4: Simplify right side
    286,233.75x = 206,694,006,155.02
  5. Step 5: Solve for x
    x = 206,694,006,155.02/286,233.75
  6. Step 6: Final answer
    x = 722,116.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.