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Finding the Third Proportional to 225,799 and 332,460.50

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Solution

The third proportional to 225,799 and 332,460.50 is: 489,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,799 : 332,460.50 = 332,460.50 : x
  2. Step 2: Convert to fraction form
    225,799/332,460.50 = 332,460.50/x
  3. Step 3: Cross multiply
    225,799x = 332,460.50 × 332,460.50
  4. Step 4: Simplify right side
    225,799x = 110,529,984,060.25
  5. Step 5: Solve for x
    x = 110,529,984,060.25/225,799
  6. Step 6: Final answer
    x = 489,506.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.