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Finding the Third Proportional to 275,481 and 403,790.06

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Solution

The third proportional to 275,481 and 403,790.06 is: 591,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,481 : 403,790.06 = 403,790.06 : x
  2. Step 2: Convert to fraction form
    275,481/403,790.06 = 403,790.06/x
  3. Step 3: Cross multiply
    275,481x = 403,790.06 × 403,790.06
  4. Step 4: Simplify right side
    275,481x = 163,046,414,573.75
  5. Step 5: Solve for x
    x = 163,046,414,573.75/275,481
  6. Step 6: Final answer
    x = 591,860.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.