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Finding the Third Proportional to 254,895 and 382,438.50

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Solution

The third proportional to 254,895 and 382,438.50 is: 573,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,895 : 382,438.50 = 382,438.50 : x
  2. Step 2: Convert to fraction form
    254,895/382,438.50 = 382,438.50/x
  3. Step 3: Cross multiply
    254,895x = 382,438.50 × 382,438.50
  4. Step 4: Simplify right side
    254,895x = 146,259,206,282.25
  5. Step 5: Solve for x
    x = 146,259,206,282.25/254,895
  6. Step 6: Final answer
    x = 573,801.79

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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.