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Finding the Third Proportional to 331,572 and 509,942

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Solution

The third proportional to 331,572 and 509,942 is: 784,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,572 : 509,942 = 509,942 : x
  2. Step 2: Convert to fraction form
    331,572/509,942 = 509,942/x
  3. Step 3: Cross multiply
    331,572x = 509,942 × 509,942
  4. Step 4: Simplify right side
    331,572x = 260,040,843,364
  5. Step 5: Solve for x
    x = 260,040,843,364/331,572
  6. Step 6: Final answer
    x = 784,266.59

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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.