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Finding the Third Proportional to 342,967.13 and 738,610.97

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Solution

The third proportional to 342,967.13 and 738,610.97 is: 1,590,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,967.13 : 738,610.97 = 738,610.97 : x
  2. Step 2: Convert to fraction form
    342,967.13/738,610.97 = 738,610.97/x
  3. Step 3: Cross multiply
    342,967.13x = 738,610.97 × 738,610.97
  4. Step 4: Simplify right side
    342,967.13x = 545,546,163,157.81
  5. Step 5: Solve for x
    x = 545,546,163,157.81/342,967.13
  6. Step 6: Final answer
    x = 1,590,666.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.