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Finding the Third Proportional to 347,789 and 732,933

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Solution

The third proportional to 347,789 and 732,933 is: 1,544,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,789 : 732,933 = 732,933 : x
  2. Step 2: Convert to fraction form
    347,789/732,933 = 732,933/x
  3. Step 3: Cross multiply
    347,789x = 732,933 × 732,933
  4. Step 4: Simplify right side
    347,789x = 537,190,782,489
  5. Step 5: Solve for x
    x = 537,190,782,489/347,789
  6. Step 6: Final answer
    x = 1,544,588.19

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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.