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Finding the Third Proportional to 385,928 and 582,924

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Solution

The third proportional to 385,928 and 582,924 is: 880,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,928 : 582,924 = 582,924 : x
  2. Step 2: Convert to fraction form
    385,928/582,924 = 582,924/x
  3. Step 3: Cross multiply
    385,928x = 582,924 × 582,924
  4. Step 4: Simplify right side
    385,928x = 339,800,389,776
  5. Step 5: Solve for x
    x = 339,800,389,776/385,928
  6. Step 6: Final answer
    x = 880,476.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.