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Finding the Third Proportional to 339,146 and 524,900

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Solution

The third proportional to 339,146 and 524,900 is: 812,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,146 : 524,900 = 524,900 : x
  2. Step 2: Convert to fraction form
    339,146/524,900 = 524,900/x
  3. Step 3: Cross multiply
    339,146x = 524,900 × 524,900
  4. Step 4: Simplify right side
    339,146x = 275,520,010,000
  5. Step 5: Solve for x
    x = 275,520,010,000/339,146
  6. Step 6: Final answer
    x = 812,393.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.