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Finding the Third Proportional to 296,868 and 604,104

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Solution

The third proportional to 296,868 and 604,104 is: 1,229,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,868 : 604,104 = 604,104 : x
  2. Step 2: Convert to fraction form
    296,868/604,104 = 604,104/x
  3. Step 3: Cross multiply
    296,868x = 604,104 × 604,104
  4. Step 4: Simplify right side
    296,868x = 364,941,642,816
  5. Step 5: Solve for x
    x = 364,941,642,816/296,868
  6. Step 6: Final answer
    x = 1,229,306.10

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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.