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Finding the Third Proportional to 384,376.75 and 561,750.25

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Solution

The third proportional to 384,376.75 and 561,750.25 is: 820,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,376.75 : 561,750.25 = 561,750.25 : x
  2. Step 2: Convert to fraction form
    384,376.75/561,750.25 = 561,750.25/x
  3. Step 3: Cross multiply
    384,376.75x = 561,750.25 × 561,750.25
  4. Step 4: Simplify right side
    384,376.75x = 315,563,343,375.06
  5. Step 5: Solve for x
    x = 315,563,343,375.06/384,376.75
  6. Step 6: Final answer
    x = 820,974.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.