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Finding the Third Proportional to 284,998.50 and 451,264.50

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Solution

The third proportional to 284,998.50 and 451,264.50 is: 714,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,998.50 : 451,264.50 = 451,264.50 : x
  2. Step 2: Convert to fraction form
    284,998.50/451,264.50 = 451,264.50/x
  3. Step 3: Cross multiply
    284,998.50x = 451,264.50 × 451,264.50
  4. Step 4: Simplify right side
    284,998.50x = 203,639,648,960.25
  5. Step 5: Solve for x
    x = 203,639,648,960.25/284,998.50
  6. Step 6: Final answer
    x = 714,528.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.