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Finding the Third Proportional to 280,321.38 and 420,395.70

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Solution

The third proportional to 280,321.38 and 420,395.70 is: 630,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,321.38 : 420,395.70 = 420,395.70 : x
  2. Step 2: Convert to fraction form
    280,321.38/420,395.70 = 420,395.70/x
  3. Step 3: Cross multiply
    280,321.38x = 420,395.70 × 420,395.70
  4. Step 4: Simplify right side
    280,321.38x = 176,732,540,637.28
  5. Step 5: Solve for x
    x = 176,732,540,637.28/280,321.38
  6. Step 6: Final answer
    x = 630,464.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.