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Finding the Third Proportional to 280,432.13 and 612,258.75

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Solution

The third proportional to 280,432.13 and 612,258.75 is: 1,336,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,432.13 : 612,258.75 = 612,258.75 : x
  2. Step 2: Convert to fraction form
    280,432.13/612,258.75 = 612,258.75/x
  3. Step 3: Cross multiply
    280,432.13x = 612,258.75 × 612,258.75
  4. Step 4: Simplify right side
    280,432.13x = 374,860,776,951.56
  5. Step 5: Solve for x
    x = 374,860,776,951.56/280,432.13
  6. Step 6: Final answer
    x = 1,336,725.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.