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Finding the Third Proportional to 308,235 and 483,651

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Solution

The third proportional to 308,235 and 483,651 is: 758,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,235 : 483,651 = 483,651 : x
  2. Step 2: Convert to fraction form
    308,235/483,651 = 483,651/x
  3. Step 3: Cross multiply
    308,235x = 483,651 × 483,651
  4. Step 4: Simplify right side
    308,235x = 233,918,289,801
  5. Step 5: Solve for x
    x = 233,918,289,801/308,235
  6. Step 6: Final answer
    x = 758,895.94

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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.