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Finding the Third Proportional to 305,917 and 430,032

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Solution

The third proportional to 305,917 and 430,032 is: 604,502.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,917 : 430,032 = 430,032 : x
  2. Step 2: Convert to fraction form
    305,917/430,032 = 430,032/x
  3. Step 3: Cross multiply
    305,917x = 430,032 × 430,032
  4. Step 4: Simplify right side
    305,917x = 184,927,521,024
  5. Step 5: Solve for x
    x = 184,927,521,024/305,917
  6. Step 6: Final answer
    x = 604,502.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.