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Finding the Third Proportional to 293,781 and 604,950

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Solution

The third proportional to 293,781 and 604,950 is: 1,245,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,781 : 604,950 = 604,950 : x
  2. Step 2: Convert to fraction form
    293,781/604,950 = 604,950/x
  3. Step 3: Cross multiply
    293,781x = 604,950 × 604,950
  4. Step 4: Simplify right side
    293,781x = 365,964,502,500
  5. Step 5: Solve for x
    x = 365,964,502,500/293,781
  6. Step 6: Final answer
    x = 1,245,705.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.