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Finding the Third Proportional to 237,906 and 347,924

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Solution

The third proportional to 237,906 and 347,924 is: 508,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,906 : 347,924 = 347,924 : x
  2. Step 2: Convert to fraction form
    237,906/347,924 = 347,924/x
  3. Step 3: Cross multiply
    237,906x = 347,924 × 347,924
  4. Step 4: Simplify right side
    237,906x = 121,051,109,776
  5. Step 5: Solve for x
    x = 121,051,109,776/237,906
  6. Step 6: Final answer
    x = 508,819.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.