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Finding the Third Proportional to 372,968 and 578,568

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Solution

The third proportional to 372,968 and 578,568 is: 897,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,968 : 578,568 = 578,568 : x
  2. Step 2: Convert to fraction form
    372,968/578,568 = 578,568/x
  3. Step 3: Cross multiply
    372,968x = 578,568 × 578,568
  4. Step 4: Simplify right side
    372,968x = 334,740,930,624
  5. Step 5: Solve for x
    x = 334,740,930,624/372,968
  6. Step 6: Final answer
    x = 897,505.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.