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Finding the Third Proportional to 485,265.38 and 734,699.25

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Solution

The third proportional to 485,265.38 and 734,699.25 is: 1,112,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,265.38 : 734,699.25 = 734,699.25 : x
  2. Step 2: Convert to fraction form
    485,265.38/734,699.25 = 734,699.25/x
  3. Step 3: Cross multiply
    485,265.38x = 734,699.25 × 734,699.25
  4. Step 4: Simplify right side
    485,265.38x = 539,782,987,950.56
  5. Step 5: Solve for x
    x = 539,782,987,950.56/485,265.38
  6. Step 6: Final answer
    x = 1,112,345.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.