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Finding the Third Proportional to 381,549.75 and 607,348.50

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Solution

The third proportional to 381,549.75 and 607,348.50 is: 966,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,549.75 : 607,348.50 = 607,348.50 : x
  2. Step 2: Convert to fraction form
    381,549.75/607,348.50 = 607,348.50/x
  3. Step 3: Cross multiply
    381,549.75x = 607,348.50 × 607,348.50
  4. Step 4: Simplify right side
    381,549.75x = 368,872,200,452.25
  5. Step 5: Solve for x
    x = 368,872,200,452.25/381,549.75
  6. Step 6: Final answer
    x = 966,773.53

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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.