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Finding the Third Proportional to 437,150 and 695,109

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Solution

The third proportional to 437,150 and 695,109 is: 1,105,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,150 : 695,109 = 695,109 : x
  2. Step 2: Convert to fraction form
    437,150/695,109 = 695,109/x
  3. Step 3: Cross multiply
    437,150x = 695,109 × 695,109
  4. Step 4: Simplify right side
    437,150x = 483,176,521,881
  5. Step 5: Solve for x
    x = 483,176,521,881/437,150
  6. Step 6: Final answer
    x = 1,105,287.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.