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Finding the Third Proportional to 254,664 and 393,068

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Solution

The third proportional to 254,664 and 393,068 is: 606,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,664 : 393,068 = 393,068 : x
  2. Step 2: Convert to fraction form
    254,664/393,068 = 393,068/x
  3. Step 3: Cross multiply
    254,664x = 393,068 × 393,068
  4. Step 4: Simplify right side
    254,664x = 154,502,452,624
  5. Step 5: Solve for x
    x = 154,502,452,624/254,664
  6. Step 6: Final answer
    x = 606,691.38

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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.