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Finding the Third Proportional to 339,017.06 and 512,898.75

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Solution

The third proportional to 339,017.06 and 512,898.75 is: 775,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,017.06 : 512,898.75 = 512,898.75 : x
  2. Step 2: Convert to fraction form
    339,017.06/512,898.75 = 512,898.75/x
  3. Step 3: Cross multiply
    339,017.06x = 512,898.75 × 512,898.75
  4. Step 4: Simplify right side
    339,017.06x = 263,065,127,751.56
  5. Step 5: Solve for x
    x = 263,065,127,751.56/339,017.06
  6. Step 6: Final answer
    x = 775,964.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.