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Finding the Third Proportional to 280,419.19 and 611,591.63

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Solution

The third proportional to 280,419.19 and 611,591.63 is: 1,333,875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,419.19 : 611,591.63 = 611,591.63 : x
  2. Step 2: Convert to fraction form
    280,419.19/611,591.63 = 611,591.63/x
  3. Step 3: Cross multiply
    280,419.19x = 611,591.63 × 611,591.63
  4. Step 4: Simplify right side
    280,419.19x = 374,044,315,770.14
  5. Step 5: Solve for x
    x = 374,044,315,770.14/280,419.19
  6. Step 6: Final answer
    x = 1,333,875.61

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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.