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Finding the Third Proportional to 254,897 and 382,442

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Solution

The third proportional to 254,897 and 382,442 is: 573,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,897 : 382,442 = 382,442 : x
  2. Step 2: Convert to fraction form
    254,897/382,442 = 382,442/x
  3. Step 3: Cross multiply
    254,897x = 382,442 × 382,442
  4. Step 4: Simplify right side
    254,897x = 146,261,883,364
  5. Step 5: Solve for x
    x = 146,261,883,364/254,897
  6. Step 6: Final answer
    x = 573,807.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.