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Finding the Third Proportional to 313,083 and 475,600.50

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Solution

The third proportional to 313,083 and 475,600.50 is: 722,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,083 : 475,600.50 = 475,600.50 : x
  2. Step 2: Convert to fraction form
    313,083/475,600.50 = 475,600.50/x
  3. Step 3: Cross multiply
    313,083x = 475,600.50 × 475,600.50
  4. Step 4: Simplify right side
    313,083x = 226,195,835,600.25
  5. Step 5: Solve for x
    x = 226,195,835,600.25/313,083
  6. Step 6: Final answer
    x = 722,478.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.