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Finding the Third Proportional to 254,726 and 392,782

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Solution

The third proportional to 254,726 and 392,782 is: 605,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,726 : 392,782 = 392,782 : x
  2. Step 2: Convert to fraction form
    254,726/392,782 = 392,782/x
  3. Step 3: Cross multiply
    254,726x = 392,782 × 392,782
  4. Step 4: Simplify right side
    254,726x = 154,277,699,524
  5. Step 5: Solve for x
    x = 154,277,699,524/254,726
  6. Step 6: Final answer
    x = 605,661.38

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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.