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Finding the Third Proportional to 775,577.25 and 1,158,672.38

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Solution

The third proportional to 775,577.25 and 1,158,672.38 is: 1,730,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,577.25 : 1,158,672.38 = 1,158,672.38 : x
  2. Step 2: Convert to fraction form
    775,577.25/1,158,672.38 = 1,158,672.38/x
  3. Step 3: Cross multiply
    775,577.25x = 1,158,672.38 × 1,158,672.38
  4. Step 4: Simplify right side
    775,577.25x = 1,342,521,672,588.14
  5. Step 5: Solve for x
    x = 1,342,521,672,588.14/775,577.25
  6. Step 6: Final answer
    x = 1,730,996.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.