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Finding the Third Proportional to 296,873 and 604,114

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Solution

The third proportional to 296,873 and 604,114 is: 1,229,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,873 : 604,114 = 604,114 : x
  2. Step 2: Convert to fraction form
    296,873/604,114 = 604,114/x
  3. Step 3: Cross multiply
    296,873x = 604,114 × 604,114
  4. Step 4: Simplify right side
    296,873x = 364,953,724,996
  5. Step 5: Solve for x
    x = 364,953,724,996/296,873
  6. Step 6: Final answer
    x = 1,229,326.09

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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.