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Finding the Third Proportional to 308,398 and 476,604

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Solution

The third proportional to 308,398 and 476,604 is: 736,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,398 : 476,604 = 476,604 : x
  2. Step 2: Convert to fraction form
    308,398/476,604 = 476,604/x
  3. Step 3: Cross multiply
    308,398x = 476,604 × 476,604
  4. Step 4: Simplify right side
    308,398x = 227,151,372,816
  5. Step 5: Solve for x
    x = 227,151,372,816/308,398
  6. Step 6: Final answer
    x = 736,552.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.