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Finding the Third Proportional to 229,006.50 and 489,460.50

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Solution

The third proportional to 229,006.50 and 489,460.50 is: 1,046,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,006.50 : 489,460.50 = 489,460.50 : x
  2. Step 2: Convert to fraction form
    229,006.50/489,460.50 = 489,460.50/x
  3. Step 3: Cross multiply
    229,006.50x = 489,460.50 × 489,460.50
  4. Step 4: Simplify right side
    229,006.50x = 239,571,581,060.25
  5. Step 5: Solve for x
    x = 239,571,581,060.25/229,006.50
  6. Step 6: Final answer
    x = 1,046,134.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.