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Finding the Third Proportional to 331,436 and 510,094

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Solution

The third proportional to 331,436 and 510,094 is: 785,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,436 : 510,094 = 510,094 : x
  2. Step 2: Convert to fraction form
    331,436/510,094 = 510,094/x
  3. Step 3: Cross multiply
    331,436x = 510,094 × 510,094
  4. Step 4: Simplify right side
    331,436x = 260,195,888,836
  5. Step 5: Solve for x
    x = 260,195,888,836/331,436
  6. Step 6: Final answer
    x = 785,056.21

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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.