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Finding the Third Proportional to 292,997 and 439,414

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Solution

The third proportional to 292,997 and 439,414 is: 658,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,997 : 439,414 = 439,414 : x
  2. Step 2: Convert to fraction form
    292,997/439,414 = 439,414/x
  3. Step 3: Cross multiply
    292,997x = 439,414 × 439,414
  4. Step 4: Simplify right side
    292,997x = 193,084,663,396
  5. Step 5: Solve for x
    x = 193,084,663,396/292,997
  6. Step 6: Final answer
    x = 658,998.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.