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Finding the Third Proportional to 342,793 and 742,788

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Solution

The third proportional to 342,793 and 742,788 is: 1,609,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,793 : 742,788 = 742,788 : x
  2. Step 2: Convert to fraction form
    342,793/742,788 = 742,788/x
  3. Step 3: Cross multiply
    342,793x = 742,788 × 742,788
  4. Step 4: Simplify right side
    342,793x = 551,734,012,944
  5. Step 5: Solve for x
    x = 551,734,012,944/342,793
  6. Step 6: Final answer
    x = 1,609,525.32

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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.