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Finding the Third Proportional to 248,860 and 382,506

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Solution

The third proportional to 248,860 and 382,506 is: 587,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,860 : 382,506 = 382,506 : x
  2. Step 2: Convert to fraction form
    248,860/382,506 = 382,506/x
  3. Step 3: Cross multiply
    248,860x = 382,506 × 382,506
  4. Step 4: Simplify right side
    248,860x = 146,310,840,036
  5. Step 5: Solve for x
    x = 146,310,840,036/248,860
  6. Step 6: Final answer
    x = 587,924.29

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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.