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Finding the Third Proportional to 340,064.75 and 742,447.75

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Solution

The third proportional to 340,064.75 and 742,447.75 is: 1,620,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,064.75 : 742,447.75 = 742,447.75 : x
  2. Step 2: Convert to fraction form
    340,064.75/742,447.75 = 742,447.75/x
  3. Step 3: Cross multiply
    340,064.75x = 742,447.75 × 742,447.75
  4. Step 4: Simplify right side
    340,064.75x = 551,228,661,480.06
  5. Step 5: Solve for x
    x = 551,228,661,480.06/340,064.75
  6. Step 6: Final answer
    x = 1,620,952.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.