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Finding the Third Proportional to 336,403.13 and 580,420.69

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Solution

The third proportional to 336,403.13 and 580,420.69 is: 1,001,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,403.13 : 580,420.69 = 580,420.69 : x
  2. Step 2: Convert to fraction form
    336,403.13/580,420.69 = 580,420.69/x
  3. Step 3: Cross multiply
    336,403.13x = 580,420.69 × 580,420.69
  4. Step 4: Simplify right side
    336,403.13x = 336,888,174,477.97
  5. Step 5: Solve for x
    x = 336,888,174,477.97/336,403.13
  6. Step 6: Final answer
    x = 1,001,441.87

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These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.