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Finding the Third Proportional to 204,752 and 447,328

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Solution

The third proportional to 204,752 and 447,328 is: 977,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,752 : 447,328 = 447,328 : x
  2. Step 2: Convert to fraction form
    204,752/447,328 = 447,328/x
  3. Step 3: Cross multiply
    204,752x = 447,328 × 447,328
  4. Step 4: Simplify right side
    204,752x = 200,102,339,584
  5. Step 5: Solve for x
    x = 200,102,339,584/204,752
  6. Step 6: Final answer
    x = 977,291.26

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Why These Related Problems?

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