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Finding the Third Proportional to 293,580 and 563,832

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Solution

The third proportional to 293,580 and 563,832 is: 1,082,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,580 : 563,832 = 563,832 : x
  2. Step 2: Convert to fraction form
    293,580/563,832 = 563,832/x
  3. Step 3: Cross multiply
    293,580x = 563,832 × 563,832
  4. Step 4: Simplify right side
    293,580x = 317,906,524,224
  5. Step 5: Solve for x
    x = 317,906,524,224/293,580
  6. Step 6: Final answer
    x = 1,082,861.65

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.