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Finding the Third Proportional to 284,931 and 451,181.25

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Solution

The third proportional to 284,931 and 451,181.25 is: 714,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,931 : 451,181.25 = 451,181.25 : x
  2. Step 2: Convert to fraction form
    284,931/451,181.25 = 451,181.25/x
  3. Step 3: Cross multiply
    284,931x = 451,181.25 × 451,181.25
  4. Step 4: Simplify right side
    284,931x = 203,564,520,351.56
  5. Step 5: Solve for x
    x = 203,564,520,351.56/284,931
  6. Step 6: Final answer
    x = 714,434.44

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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.