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Finding the Third Proportional to 254,718 and 392,769

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Solution

The third proportional to 254,718 and 392,769 is: 605,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,718 : 392,769 = 392,769 : x
  2. Step 2: Convert to fraction form
    254,718/392,769 = 392,769/x
  3. Step 3: Cross multiply
    254,718x = 392,769 × 392,769
  4. Step 4: Simplify right side
    254,718x = 154,267,487,361
  5. Step 5: Solve for x
    x = 154,267,487,361/254,718
  6. Step 6: Final answer
    x = 605,640.31

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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.