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Finding the Third Proportional to 342,781 and 742,768

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Solution

The third proportional to 342,781 and 742,768 is: 1,609,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,781 : 742,768 = 742,768 : x
  2. Step 2: Convert to fraction form
    342,781/742,768 = 742,768/x
  3. Step 3: Cross multiply
    342,781x = 742,768 × 742,768
  4. Step 4: Simplify right side
    342,781x = 551,704,301,824
  5. Step 5: Solve for x
    x = 551,704,301,824/342,781
  6. Step 6: Final answer
    x = 1,609,494.99

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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.