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Finding the Third Proportional to 296,867 and 604,102

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Solution

The third proportional to 296,867 and 604,102 is: 1,229,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,867 : 604,102 = 604,102 : x
  2. Step 2: Convert to fraction form
    296,867/604,102 = 604,102/x
  3. Step 3: Cross multiply
    296,867x = 604,102 × 604,102
  4. Step 4: Simplify right side
    296,867x = 364,939,226,404
  5. Step 5: Solve for x
    x = 364,939,226,404/296,867
  6. Step 6: Final answer
    x = 1,229,302.10

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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.