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Finding the Third Proportional to 296,871 and 604,110

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Solution

The third proportional to 296,871 and 604,110 is: 1,229,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,871 : 604,110 = 604,110 : x
  2. Step 2: Convert to fraction form
    296,871/604,110 = 604,110/x
  3. Step 3: Cross multiply
    296,871x = 604,110 × 604,110
  4. Step 4: Simplify right side
    296,871x = 364,948,892,100
  5. Step 5: Solve for x
    x = 364,948,892,100/296,871
  6. Step 6: Final answer
    x = 1,229,318.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.