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Finding the Third Proportional to 366,743.25 and 561,010.13

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Solution

The third proportional to 366,743.25 and 561,010.13 is: 858,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,743.25 : 561,010.13 = 561,010.13 : x
  2. Step 2: Convert to fraction form
    366,743.25/561,010.13 = 561,010.13/x
  3. Step 3: Cross multiply
    366,743.25x = 561,010.13 × 561,010.13
  4. Step 4: Simplify right side
    366,743.25x = 314,732,360,352.52
  5. Step 5: Solve for x
    x = 314,732,360,352.52/366,743.25
  6. Step 6: Final answer
    x = 858,181.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.