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Finding the Third Proportional to 280,543.50 and 581,043.38

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Solution

The third proportional to 280,543.50 and 581,043.38 is: 1,203,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,543.50 : 581,043.38 = 581,043.38 : x
  2. Step 2: Convert to fraction form
    280,543.50/581,043.38 = 581,043.38/x
  3. Step 3: Cross multiply
    280,543.50x = 581,043.38 × 581,043.38
  4. Step 4: Simplify right side
    280,543.50x = 337,611,403,631.39
  5. Step 5: Solve for x
    x = 337,611,403,631.39/280,543.50
  6. Step 6: Final answer
    x = 1,203,419.09

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.