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Finding the Third Proportional to 582,144 and 925,704

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Solution

The third proportional to 582,144 and 925,704 is: 1,472,020.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,144 : 925,704 = 925,704 : x
  2. Step 2: Convert to fraction form
    582,144/925,704 = 925,704/x
  3. Step 3: Cross multiply
    582,144x = 925,704 × 925,704
  4. Step 4: Simplify right side
    582,144x = 856,927,895,616
  5. Step 5: Solve for x
    x = 856,927,895,616/582,144
  6. Step 6: Final answer
    x = 1,472,020.49

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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.