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Finding the Third Proportional to 239,626.25 and 512,913

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Solution

The third proportional to 239,626.25 and 512,913 is: 1,097,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,626.25 : 512,913 = 512,913 : x
  2. Step 2: Convert to fraction form
    239,626.25/512,913 = 512,913/x
  3. Step 3: Cross multiply
    239,626.25x = 512,913 × 512,913
  4. Step 4: Simplify right side
    239,626.25x = 263,079,745,569
  5. Step 5: Solve for x
    x = 263,079,745,569/239,626.25
  6. Step 6: Final answer
    x = 1,097,875.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.