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Finding the Third Proportional to 417,213.70 and 856,545.05

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Solution

The third proportional to 417,213.70 and 856,545.05 is: 1,758,497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,213.70 : 856,545.05 = 856,545.05 : x
  2. Step 2: Convert to fraction form
    417,213.70/856,545.05 = 856,545.05/x
  3. Step 3: Cross multiply
    417,213.70x = 856,545.05 × 856,545.05
  4. Step 4: Simplify right side
    417,213.70x = 733,669,417,326.10
  5. Step 5: Solve for x
    x = 733,669,417,326.10/417,213.70
  6. Step 6: Final answer
    x = 1,758,497.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.