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Finding the Third Proportional to 213,657.75 and 455,917.99

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Solution

The third proportional to 213,657.75 and 455,917.99 is: 972,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,657.75 : 455,917.99 = 455,917.99 : x
  2. Step 2: Convert to fraction form
    213,657.75/455,917.99 = 455,917.99/x
  3. Step 3: Cross multiply
    213,657.75x = 455,917.99 × 455,917.99
  4. Step 4: Simplify right side
    213,657.75x = 207,861,215,600.28
  5. Step 5: Solve for x
    x = 207,861,215,600.28/213,657.75
  6. Step 6: Final answer
    x = 972,870.00

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.