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Finding the Third Proportional to 229,002.13 and 489,451.94

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Solution

The third proportional to 229,002.13 and 489,451.94 is: 1,046,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,002.13 : 489,451.94 = 489,451.94 : x
  2. Step 2: Convert to fraction form
    229,002.13/489,451.94 = 489,451.94/x
  3. Step 3: Cross multiply
    229,002.13x = 489,451.94 × 489,451.94
  4. Step 4: Simplify right side
    229,002.13x = 239,563,199,122.50
  5. Step 5: Solve for x
    x = 239,563,199,122.50/229,002.13
  6. Step 6: Final answer
    x = 1,046,117.80

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