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Finding the Third Proportional to 250,780.50 and 384,918.75

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Solution

The third proportional to 250,780.50 and 384,918.75 is: 590,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,780.50 : 384,918.75 = 384,918.75 : x
  2. Step 2: Convert to fraction form
    250,780.50/384,918.75 = 384,918.75/x
  3. Step 3: Cross multiply
    250,780.50x = 384,918.75 × 384,918.75
  4. Step 4: Simplify right side
    250,780.50x = 148,162,444,101.56
  5. Step 5: Solve for x
    x = 148,162,444,101.56/250,780.50
  6. Step 6: Final answer
    x = 590,805.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.