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Finding the Third Proportional to 437,172.75 and 695,143.13

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Solution

The third proportional to 437,172.75 and 695,143.13 is: 1,105,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,172.75 : 695,143.13 = 695,143.13 : x
  2. Step 2: Convert to fraction form
    437,172.75/695,143.13 = 695,143.13/x
  3. Step 3: Cross multiply
    437,172.75x = 695,143.13 × 695,143.13
  4. Step 4: Simplify right side
    437,172.75x = 483,223,964,234.77
  5. Step 5: Solve for x
    x = 483,223,964,234.77/437,172.75
  6. Step 6: Final answer
    x = 1,105,338.71

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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.