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Finding the Third Proportional to 234,044.44 and 503,639.44

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Solution

The third proportional to 234,044.44 and 503,639.44 is: 1,083,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,044.44 : 503,639.44 = 503,639.44 : x
  2. Step 2: Convert to fraction form
    234,044.44/503,639.44 = 503,639.44/x
  3. Step 3: Cross multiply
    234,044.44x = 503,639.44 × 503,639.44
  4. Step 4: Simplify right side
    234,044.44x = 253,652,683,005.32
  5. Step 5: Solve for x
    x = 253,652,683,005.32/234,044.44
  6. Step 6: Final answer
    x = 1,083,780.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.