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Finding the Third Proportional to 342,781.88 and 742,764.94

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Solution

The third proportional to 342,781.88 and 742,764.94 is: 1,609,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,781.88 : 742,764.94 = 742,764.94 : x
  2. Step 2: Convert to fraction form
    342,781.88/742,764.94 = 742,764.94/x
  3. Step 3: Cross multiply
    342,781.88x = 742,764.94 × 742,764.94
  4. Step 4: Simplify right side
    342,781.88x = 551,699,752,379.38
  5. Step 5: Solve for x
    x = 551,699,752,379.38/342,781.88
  6. Step 6: Final answer
    x = 1,609,477.61

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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.