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Finding the Third Proportional to 437,349 and 960,306

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Solution

The third proportional to 437,349 and 960,306 is: 2,108,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,349 : 960,306 = 960,306 : x
  2. Step 2: Convert to fraction form
    437,349/960,306 = 960,306/x
  3. Step 3: Cross multiply
    437,349x = 960,306 × 960,306
  4. Step 4: Simplify right side
    437,349x = 922,187,613,636
  5. Step 5: Solve for x
    x = 922,187,613,636/437,349
  6. Step 6: Final answer
    x = 2,108,585.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.