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Finding the Third Proportional to 280,411.50 and 423,963

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Solution

The third proportional to 280,411.50 and 423,963 is: 641,003.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,411.50 : 423,963 = 423,963 : x
  2. Step 2: Convert to fraction form
    280,411.50/423,963 = 423,963/x
  3. Step 3: Cross multiply
    280,411.50x = 423,963 × 423,963
  4. Step 4: Simplify right side
    280,411.50x = 179,744,625,369
  5. Step 5: Solve for x
    x = 179,744,625,369/280,411.50
  6. Step 6: Final answer
    x = 641,003.05

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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.