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Finding the Third Proportional to 286,696.13 and 455,469.75

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Solution

The third proportional to 286,696.13 and 455,469.75 is: 723,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,696.13 : 455,469.75 = 455,469.75 : x
  2. Step 2: Convert to fraction form
    286,696.13/455,469.75 = 455,469.75/x
  3. Step 3: Cross multiply
    286,696.13x = 455,469.75 × 455,469.75
  4. Step 4: Simplify right side
    286,696.13x = 207,452,693,165.06
  5. Step 5: Solve for x
    x = 207,452,693,165.06/286,696.13
  6. Step 6: Final answer
    x = 723,597.83

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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.