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Finding the Third Proportional to 296,865 and 604,098

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Solution

The third proportional to 296,865 and 604,098 is: 1,229,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,865 : 604,098 = 604,098 : x
  2. Step 2: Convert to fraction form
    296,865/604,098 = 604,098/x
  3. Step 3: Cross multiply
    296,865x = 604,098 × 604,098
  4. Step 4: Simplify right side
    296,865x = 364,934,393,604
  5. Step 5: Solve for x
    x = 364,934,393,604/296,865
  6. Step 6: Final answer
    x = 1,229,294.10

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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.