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Finding the Third Proportional to 204,235 and 448,789

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Solution

The third proportional to 204,235 and 448,789 is: 986,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,235 : 448,789 = 448,789 : x
  2. Step 2: Convert to fraction form
    204,235/448,789 = 448,789/x
  3. Step 3: Cross multiply
    204,235x = 448,789 × 448,789
  4. Step 4: Simplify right side
    204,235x = 201,411,566,521
  5. Step 5: Solve for x
    x = 201,411,566,521/204,235
  6. Step 6: Final answer
    x = 986,175.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.