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Finding the Third Proportional to 473,745.75 and 728,916.38

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Solution

The third proportional to 473,745.75 and 728,916.38 is: 1,121,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,745.75 : 728,916.38 = 728,916.38 : x
  2. Step 2: Convert to fraction form
    473,745.75/728,916.38 = 728,916.38/x
  3. Step 3: Cross multiply
    473,745.75x = 728,916.38 × 728,916.38
  4. Step 4: Simplify right side
    473,745.75x = 531,319,081,743.14
  5. Step 5: Solve for x
    x = 531,319,081,743.14/473,745.75
  6. Step 6: Final answer
    x = 1,121,527.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.