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Finding the Third Proportional to 191,782 and 417,025

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Solution

The third proportional to 191,782 and 417,025 is: 906,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,782 : 417,025 = 417,025 : x
  2. Step 2: Convert to fraction form
    191,782/417,025 = 417,025/x
  3. Step 3: Cross multiply
    191,782x = 417,025 × 417,025
  4. Step 4: Simplify right side
    191,782x = 173,909,850,625
  5. Step 5: Solve for x
    x = 173,909,850,625/191,782
  6. Step 6: Final answer
    x = 906,810.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.