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Finding the Third Proportional to 347,794 and 732,944

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Solution

The third proportional to 347,794 and 732,944 is: 1,544,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,794 : 732,944 = 732,944 : x
  2. Step 2: Convert to fraction form
    347,794/732,944 = 732,944/x
  3. Step 3: Cross multiply
    347,794x = 732,944 × 732,944
  4. Step 4: Simplify right side
    347,794x = 537,206,907,136
  5. Step 5: Solve for x
    x = 537,206,907,136/347,794
  6. Step 6: Final answer
    x = 1,544,612.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.