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Finding the Third Proportional to 296,866 and 604,100

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Solution

The third proportional to 296,866 and 604,100 is: 1,229,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,866 : 604,100 = 604,100 : x
  2. Step 2: Convert to fraction form
    296,866/604,100 = 604,100/x
  3. Step 3: Cross multiply
    296,866x = 604,100 × 604,100
  4. Step 4: Simplify right side
    296,866x = 364,936,810,000
  5. Step 5: Solve for x
    x = 364,936,810,000/296,866
  6. Step 6: Final answer
    x = 1,229,298.10

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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.