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Finding the Third Proportional to 338,653 and 740,273.50

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Solution

The third proportional to 338,653 and 740,273.50 is: 1,618,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,653 : 740,273.50 = 740,273.50 : x
  2. Step 2: Convert to fraction form
    338,653/740,273.50 = 740,273.50/x
  3. Step 3: Cross multiply
    338,653x = 740,273.50 × 740,273.50
  4. Step 4: Simplify right side
    338,653x = 548,004,854,802.25
  5. Step 5: Solve for x
    x = 548,004,854,802.25/338,653
  6. Step 6: Final answer
    x = 1,618,189.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.