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Finding the Third Proportional to 284,364 and 427,275

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Solution

The third proportional to 284,364 and 427,275 is: 642,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,364 : 427,275 = 427,275 : x
  2. Step 2: Convert to fraction form
    284,364/427,275 = 427,275/x
  3. Step 3: Cross multiply
    284,364x = 427,275 × 427,275
  4. Step 4: Simplify right side
    284,364x = 182,563,925,625
  5. Step 5: Solve for x
    x = 182,563,925,625/284,364
  6. Step 6: Final answer
    x = 642,007.87

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Why These Related Problems?

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