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Finding the Third Proportional to 382,046.63 and 414,811.13

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Solution

The third proportional to 382,046.63 and 414,811.13 is: 450,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,046.63 : 414,811.13 = 414,811.13 : x
  2. Step 2: Convert to fraction form
    382,046.63/414,811.13 = 414,811.13/x
  3. Step 3: Cross multiply
    382,046.63x = 414,811.13 × 414,811.13
  4. Step 4: Simplify right side
    382,046.63x = 172,068,269,423.77
  5. Step 5: Solve for x
    x = 172,068,269,423.77/382,046.63
  6. Step 6: Final answer
    x = 450,385.52

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.