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Finding the Third Proportional to 323,281.13 and 489,409.59

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Solution

The third proportional to 323,281.13 and 489,409.59 is: 740,908.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,281.13 : 489,409.59 = 489,409.59 : x
  2. Step 2: Convert to fraction form
    323,281.13/489,409.59 = 489,409.59/x
  3. Step 3: Cross multiply
    323,281.13x = 489,409.59 × 489,409.59
  4. Step 4: Simplify right side
    323,281.13x = 239,521,750,454.54
  5. Step 5: Solve for x
    x = 239,521,750,454.54/323,281.13
  6. Step 6: Final answer
    x = 740,908.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.