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Finding the Third Proportional to 225,508.50 and 489,897

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Solution

The third proportional to 225,508.50 and 489,897 is: 1,064,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,508.50 : 489,897 = 489,897 : x
  2. Step 2: Convert to fraction form
    225,508.50/489,897 = 489,897/x
  3. Step 3: Cross multiply
    225,508.50x = 489,897 × 489,897
  4. Step 4: Simplify right side
    225,508.50x = 239,999,070,609
  5. Step 5: Solve for x
    x = 239,999,070,609/225,508.50
  6. Step 6: Final answer
    x = 1,064,257.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.