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Finding the Third Proportional to 331,503 and 509,840

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Solution

The third proportional to 331,503 and 509,840 is: 784,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,503 : 509,840 = 509,840 : x
  2. Step 2: Convert to fraction form
    331,503/509,840 = 509,840/x
  3. Step 3: Cross multiply
    331,503x = 509,840 × 509,840
  4. Step 4: Simplify right side
    331,503x = 259,936,825,600
  5. Step 5: Solve for x
    x = 259,936,825,600/331,503
  6. Step 6: Final answer
    x = 784,116.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.