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Finding the Third Proportional to 372,726 and 496,594.13

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Solution

The third proportional to 372,726 and 496,594.13 is: 661,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,726 : 496,594.13 = 496,594.13 : x
  2. Step 2: Convert to fraction form
    372,726/496,594.13 = 496,594.13/x
  3. Step 3: Cross multiply
    372,726x = 496,594.13 × 496,594.13
  4. Step 4: Simplify right side
    372,726x = 246,605,724,984.52
  5. Step 5: Solve for x
    x = 246,605,724,984.52/372,726
  6. Step 6: Final answer
    x = 661,627.38

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.