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Finding the Third Proportional to 405,629.16 and 865,560.38

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Solution

The third proportional to 405,629.16 and 865,560.38 is: 1,846,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,629.16 : 865,560.38 = 865,560.38 : x
  2. Step 2: Convert to fraction form
    405,629.16/865,560.38 = 865,560.38/x
  3. Step 3: Cross multiply
    405,629.16x = 865,560.38 × 865,560.38
  4. Step 4: Simplify right side
    405,629.16x = 749,194,762,770.14
  5. Step 5: Solve for x
    x = 749,194,762,770.14/405,629.16
  6. Step 6: Final answer
    x = 1,846,994.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.