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Finding the Third Proportional to 339,052.50 and 512,948.25

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Solution

The third proportional to 339,052.50 and 512,948.25 is: 776,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,052.50 : 512,948.25 = 512,948.25 : x
  2. Step 2: Convert to fraction form
    339,052.50/512,948.25 = 512,948.25/x
  3. Step 3: Cross multiply
    339,052.50x = 512,948.25 × 512,948.25
  4. Step 4: Simplify right side
    339,052.50x = 263,115,907,178.06
  5. Step 5: Solve for x
    x = 263,115,907,178.06/339,052.50
  6. Step 6: Final answer
    x = 776,032.94

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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.