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Finding the Third Proportional to 284,634 and 611,478

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Solution

The third proportional to 284,634 and 611,478 is: 1,313,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,634 : 611,478 = 611,478 : x
  2. Step 2: Convert to fraction form
    284,634/611,478 = 611,478/x
  3. Step 3: Cross multiply
    284,634x = 611,478 × 611,478
  4. Step 4: Simplify right side
    284,634x = 373,905,344,484
  5. Step 5: Solve for x
    x = 373,905,344,484/284,634
  6. Step 6: Final answer
    x = 1,313,635.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.