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Finding the Third Proportional to 306,301 and 703,041

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Solution

The third proportional to 306,301 and 703,041 is: 1,613,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,301 : 703,041 = 703,041 : x
  2. Step 2: Convert to fraction form
    306,301/703,041 = 703,041/x
  3. Step 3: Cross multiply
    306,301x = 703,041 × 703,041
  4. Step 4: Simplify right side
    306,301x = 494,266,647,681
  5. Step 5: Solve for x
    x = 494,266,647,681/306,301
  6. Step 6: Final answer
    x = 1,613,663.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.