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Finding the Third Proportional to 233,187.75 and 460,917

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Solution

The third proportional to 233,187.75 and 460,917 is: 911,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.75 : 460,917 = 460,917 : x
  2. Step 2: Convert to fraction form
    233,187.75/460,917 = 460,917/x
  3. Step 3: Cross multiply
    233,187.75x = 460,917 × 460,917
  4. Step 4: Simplify right side
    233,187.75x = 212,444,480,889
  5. Step 5: Solve for x
    x = 212,444,480,889/233,187.75
  6. Step 6: Final answer
    x = 911,044.77

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.