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Finding the Third Proportional to 191,458.69 and 416,491.88

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Solution

The third proportional to 191,458.69 and 416,491.88 is: 906,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,458.69 : 416,491.88 = 416,491.88 : x
  2. Step 2: Convert to fraction form
    191,458.69/416,491.88 = 416,491.88/x
  3. Step 3: Cross multiply
    191,458.69x = 416,491.88 × 416,491.88
  4. Step 4: Simplify right side
    191,458.69x = 173,465,481,941.02
  5. Step 5: Solve for x
    x = 173,465,481,941.02/191,458.69
  6. Step 6: Final answer
    x = 906,020.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.