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Finding the Third Proportional to 339,013.50 and 512,898

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Solution

The third proportional to 339,013.50 and 512,898 is: 775,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,013.50 : 512,898 = 512,898 : x
  2. Step 2: Convert to fraction form
    339,013.50/512,898 = 512,898/x
  3. Step 3: Cross multiply
    339,013.50x = 512,898 × 512,898
  4. Step 4: Simplify right side
    339,013.50x = 263,064,358,404
  5. Step 5: Solve for x
    x = 263,064,358,404/339,013.50
  6. Step 6: Final answer
    x = 775,970.16

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