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Finding the Third Proportional to 280,432.13 and 611,620.88

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Solution

The third proportional to 280,432.13 and 611,620.88 is: 1,333,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,432.13 : 611,620.88 = 611,620.88 : x
  2. Step 2: Convert to fraction form
    280,432.13/611,620.88 = 611,620.88/x
  3. Step 3: Cross multiply
    280,432.13x = 611,620.88 × 611,620.88
  4. Step 4: Simplify right side
    280,432.13x = 374,080,094,735.77
  5. Step 5: Solve for x
    x = 374,080,094,735.77/280,432.13
  6. Step 6: Final answer
    x = 1,333,941.66

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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.