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Finding the Third Proportional to 435,884.25 and 940,577.81

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Solution

The third proportional to 435,884.25 and 940,577.81 is: 2,029,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,884.25 : 940,577.81 = 940,577.81 : x
  2. Step 2: Convert to fraction form
    435,884.25/940,577.81 = 940,577.81/x
  3. Step 3: Cross multiply
    435,884.25x = 940,577.81 × 940,577.81
  4. Step 4: Simplify right side
    435,884.25x = 884,686,621,367.29
  5. Step 5: Solve for x
    x = 884,686,621,367.29/435,884.25
  6. Step 6: Final answer
    x = 2,029,636.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.