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Finding the Third Proportional to 331,521 and 500,036

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Solution

The third proportional to 331,521 and 500,036 is: 754,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,521 : 500,036 = 500,036 : x
  2. Step 2: Convert to fraction form
    331,521/500,036 = 500,036/x
  3. Step 3: Cross multiply
    331,521x = 500,036 × 500,036
  4. Step 4: Simplify right side
    331,521x = 250,036,001,296
  5. Step 5: Solve for x
    x = 250,036,001,296/331,521
  6. Step 6: Final answer
    x = 754,208.64

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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.