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Finding the Third Proportional to 307,178 and 480,832

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Solution

The third proportional to 307,178 and 480,832 is: 752,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,178 : 480,832 = 480,832 : x
  2. Step 2: Convert to fraction form
    307,178/480,832 = 480,832/x
  3. Step 3: Cross multiply
    307,178x = 480,832 × 480,832
  4. Step 4: Simplify right side
    307,178x = 231,199,412,224
  5. Step 5: Solve for x
    x = 231,199,412,224/307,178
  6. Step 6: Final answer
    x = 752,656.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.