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Finding the Third Proportional to 207,802.50 and 454,485

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Solution

The third proportional to 207,802.50 and 454,485 is: 994,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,802.50 : 454,485 = 454,485 : x
  2. Step 2: Convert to fraction form
    207,802.50/454,485 = 454,485/x
  3. Step 3: Cross multiply
    207,802.50x = 454,485 × 454,485
  4. Step 4: Simplify right side
    207,802.50x = 206,556,615,225
  5. Step 5: Solve for x
    x = 206,556,615,225/207,802.50
  6. Step 6: Final answer
    x = 994,004.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.