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Finding the Third Proportional to 340,821 and 738,064.50

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Solution

The third proportional to 340,821 and 738,064.50 is: 1,598,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,821 : 738,064.50 = 738,064.50 : x
  2. Step 2: Convert to fraction form
    340,821/738,064.50 = 738,064.50/x
  3. Step 3: Cross multiply
    340,821x = 738,064.50 × 738,064.50
  4. Step 4: Simplify right side
    340,821x = 544,739,206,160.25
  5. Step 5: Solve for x
    x = 544,739,206,160.25/340,821
  6. Step 6: Final answer
    x = 1,598,314.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.