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Finding the Third Proportional to 205,602 and 448,476

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Solution

The third proportional to 205,602 and 448,476 is: 978,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,602 : 448,476 = 448,476 : x
  2. Step 2: Convert to fraction form
    205,602/448,476 = 448,476/x
  3. Step 3: Cross multiply
    205,602x = 448,476 × 448,476
  4. Step 4: Simplify right side
    205,602x = 201,130,722,576
  5. Step 5: Solve for x
    x = 201,130,722,576/205,602
  6. Step 6: Final answer
    x = 978,252.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.