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Finding the Third Proportional to 356,745.50 and 773,268.50

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Solution

The third proportional to 356,745.50 and 773,268.50 is: 1,676,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,745.50 : 773,268.50 = 773,268.50 : x
  2. Step 2: Convert to fraction form
    356,745.50/773,268.50 = 773,268.50/x
  3. Step 3: Cross multiply
    356,745.50x = 773,268.50 × 773,268.50
  4. Step 4: Simplify right side
    356,745.50x = 597,944,173,092.25
  5. Step 5: Solve for x
    x = 597,944,173,092.25/356,745.50
  6. Step 6: Final answer
    x = 1,676,108.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.