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Finding the Third Proportional to 236,464 and 489,758

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Solution

The third proportional to 236,464 and 489,758 is: 1,014,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,464 : 489,758 = 489,758 : x
  2. Step 2: Convert to fraction form
    236,464/489,758 = 489,758/x
  3. Step 3: Cross multiply
    236,464x = 489,758 × 489,758
  4. Step 4: Simplify right side
    236,464x = 239,862,898,564
  5. Step 5: Solve for x
    x = 239,862,898,564/236,464
  6. Step 6: Final answer
    x = 1,014,373.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.