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Finding the Third Proportional to 207,825.75 and 448,804.13

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Solution

The third proportional to 207,825.75 and 448,804.13 is: 969,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,825.75 : 448,804.13 = 448,804.13 : x
  2. Step 2: Convert to fraction form
    207,825.75/448,804.13 = 448,804.13/x
  3. Step 3: Cross multiply
    207,825.75x = 448,804.13 × 448,804.13
  4. Step 4: Simplify right side
    207,825.75x = 201,425,142,617.02
  5. Step 5: Solve for x
    x = 201,425,142,617.02/207,825.75
  6. Step 6: Final answer
    x = 969,202.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.