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Finding the Third Proportional to 296,840 and 604,048

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Solution

The third proportional to 296,840 and 604,048 is: 1,229,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,840 : 604,048 = 604,048 : x
  2. Step 2: Convert to fraction form
    296,840/604,048 = 604,048/x
  3. Step 3: Cross multiply
    296,840x = 604,048 × 604,048
  4. Step 4: Simplify right side
    296,840x = 364,873,986,304
  5. Step 5: Solve for x
    x = 364,873,986,304/296,840
  6. Step 6: Final answer
    x = 1,229,194.13

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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.