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Finding the Third Proportional to 284,977.13 and 444,718.69

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Solution

The third proportional to 284,977.13 and 444,718.69 is: 694,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,977.13 : 444,718.69 = 444,718.69 : x
  2. Step 2: Convert to fraction form
    284,977.13/444,718.69 = 444,718.69/x
  3. Step 3: Cross multiply
    284,977.13x = 444,718.69 × 444,718.69
  4. Step 4: Simplify right side
    284,977.13x = 197,774,711,011.72
  5. Step 5: Solve for x
    x = 197,774,711,011.72/284,977.13
  6. Step 6: Final answer
    x = 694,002.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.