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Finding the Third Proportional to 342,765 and 742,733

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Solution

The third proportional to 342,765 and 742,733 is: 1,609,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,765 : 742,733 = 742,733 : x
  2. Step 2: Convert to fraction form
    342,765/742,733 = 742,733/x
  3. Step 3: Cross multiply
    342,765x = 742,733 × 742,733
  4. Step 4: Simplify right side
    342,765x = 551,652,309,289
  5. Step 5: Solve for x
    x = 551,652,309,289/342,765
  6. Step 6: Final answer
    x = 1,609,418.43

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Why These Related Problems?

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