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Finding the Third Proportional to 333,238 and 502,791

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Solution

The third proportional to 333,238 and 502,791 is: 758,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,238 : 502,791 = 502,791 : x
  2. Step 2: Convert to fraction form
    333,238/502,791 = 502,791/x
  3. Step 3: Cross multiply
    333,238x = 502,791 × 502,791
  4. Step 4: Simplify right side
    333,238x = 252,798,789,681
  5. Step 5: Solve for x
    x = 252,798,789,681/333,238
  6. Step 6: Final answer
    x = 758,613.33

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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.