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Finding the Third Proportional to 236,470 and 489,770

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Solution

The third proportional to 236,470 and 489,770 is: 1,014,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,470 : 489,770 = 489,770 : x
  2. Step 2: Convert to fraction form
    236,470/489,770 = 489,770/x
  3. Step 3: Cross multiply
    236,470x = 489,770 × 489,770
  4. Step 4: Simplify right side
    236,470x = 239,874,652,900
  5. Step 5: Solve for x
    x = 239,874,652,900/236,470
  6. Step 6: Final answer
    x = 1,014,397.82

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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.