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Finding the Third Proportional to 325,416 and 596,832

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Solution

The third proportional to 325,416 and 596,832 is: 1,094,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,416 : 596,832 = 596,832 : x
  2. Step 2: Convert to fraction form
    325,416/596,832 = 596,832/x
  3. Step 3: Cross multiply
    325,416x = 596,832 × 596,832
  4. Step 4: Simplify right side
    325,416x = 356,208,436,224
  5. Step 5: Solve for x
    x = 356,208,436,224/325,416
  6. Step 6: Final answer
    x = 1,094,624.84

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.