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Finding the Third Proportional to 280,299 and 423,364.50

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Solution

The third proportional to 280,299 and 423,364.50 is: 639,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,299 : 423,364.50 = 423,364.50 : x
  2. Step 2: Convert to fraction form
    280,299/423,364.50 = 423,364.50/x
  3. Step 3: Cross multiply
    280,299x = 423,364.50 × 423,364.50
  4. Step 4: Simplify right side
    280,299x = 179,237,499,860.25
  5. Step 5: Solve for x
    x = 179,237,499,860.25/280,299
  6. Step 6: Final answer
    x = 639,451.09

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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.