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Finding the Third Proportional to 254,653.50 and 382,011

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Solution

The third proportional to 254,653.50 and 382,011 is: 573,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,653.50 : 382,011 = 382,011 : x
  2. Step 2: Convert to fraction form
    254,653.50/382,011 = 382,011/x
  3. Step 3: Cross multiply
    254,653.50x = 382,011 × 382,011
  4. Step 4: Simplify right side
    254,653.50x = 145,932,404,121
  5. Step 5: Solve for x
    x = 145,932,404,121/254,653.50
  6. Step 6: Final answer
    x = 573,062.63

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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.