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Finding the Third Proportional to 331,846 and 510,360

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Solution

The third proportional to 331,846 and 510,360 is: 784,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,846 : 510,360 = 510,360 : x
  2. Step 2: Convert to fraction form
    331,846/510,360 = 510,360/x
  3. Step 3: Cross multiply
    331,846x = 510,360 × 510,360
  4. Step 4: Simplify right side
    331,846x = 260,467,329,600
  5. Step 5: Solve for x
    x = 260,467,329,600/331,846
  6. Step 6: Final answer
    x = 784,904.23

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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.