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Finding the Third Proportional to 385,224.75 and 592,872.75

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Solution

The third proportional to 385,224.75 and 592,872.75 is: 912,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,224.75 : 592,872.75 = 592,872.75 : x
  2. Step 2: Convert to fraction form
    385,224.75/592,872.75 = 592,872.75/x
  3. Step 3: Cross multiply
    385,224.75x = 592,872.75 × 592,872.75
  4. Step 4: Simplify right side
    385,224.75x = 351,498,097,692.56
  5. Step 5: Solve for x
    x = 351,498,097,692.56/385,224.75
  6. Step 6: Final answer
    x = 912,449.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.