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Finding the Third Proportional to 284,952.94 and 451,214.72

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Solution

The third proportional to 284,952.94 and 451,214.72 is: 714,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,952.94 : 451,214.72 = 451,214.72 : x
  2. Step 2: Convert to fraction form
    284,952.94/451,214.72 = 451,214.72/x
  3. Step 3: Cross multiply
    284,952.94x = 451,214.72 × 451,214.72
  4. Step 4: Simplify right side
    284,952.94x = 203,594,722,416.64
  5. Step 5: Solve for x
    x = 203,594,722,416.64/284,952.94
  6. Step 6: Final answer
    x = 714,485.43

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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.