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Finding the Third Proportional to 325,728 and 476,928

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Solution

The third proportional to 325,728 and 476,928 is: 698,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,728 : 476,928 = 476,928 : x
  2. Step 2: Convert to fraction form
    325,728/476,928 = 476,928/x
  3. Step 3: Cross multiply
    325,728x = 476,928 × 476,928
  4. Step 4: Simplify right side
    325,728x = 227,460,317,184
  5. Step 5: Solve for x
    x = 227,460,317,184/325,728
  6. Step 6: Final answer
    x = 698,313.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.