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Finding the Third Proportional to 381,546.75 and 607,345.50

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Solution

The third proportional to 381,546.75 and 607,345.50 is: 966,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,546.75 : 607,345.50 = 607,345.50 : x
  2. Step 2: Convert to fraction form
    381,546.75/607,345.50 = 607,345.50/x
  3. Step 3: Cross multiply
    381,546.75x = 607,345.50 × 607,345.50
  4. Step 4: Simplify right side
    381,546.75x = 368,868,556,370.25
  5. Step 5: Solve for x
    x = 368,868,556,370.25/381,546.75
  6. Step 6: Final answer
    x = 966,771.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.