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Finding the Third Proportional to 384,376.88 and 561,750.75

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Solution

The third proportional to 384,376.88 and 561,750.75 is: 820,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,376.88 : 561,750.75 = 561,750.75 : x
  2. Step 2: Convert to fraction form
    384,376.88/561,750.75 = 561,750.75/x
  3. Step 3: Cross multiply
    384,376.88x = 561,750.75 × 561,750.75
  4. Step 4: Simplify right side
    384,376.88x = 315,563,905,125.56
  5. Step 5: Solve for x
    x = 315,563,905,125.56/384,376.88
  6. Step 6: Final answer
    x = 820,975.26

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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.