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Finding the Third Proportional to 413,366.63 and 885,778.88

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Solution

The third proportional to 413,366.63 and 885,778.88 is: 1,898,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,366.63 : 885,778.88 = 885,778.88 : x
  2. Step 2: Convert to fraction form
    413,366.63/885,778.88 = 885,778.88/x
  3. Step 3: Cross multiply
    413,366.63x = 885,778.88 × 885,778.88
  4. Step 4: Simplify right side
    413,366.63x = 784,604,215,396.27
  5. Step 5: Solve for x
    x = 784,604,215,396.27/413,366.63
  6. Step 6: Final answer
    x = 1,898,083.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.