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Finding the Third Proportional to 441,186.75 and 701,085.38

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Solution

The third proportional to 441,186.75 and 701,085.38 is: 1,114,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,186.75 : 701,085.38 = 701,085.38 : x
  2. Step 2: Convert to fraction form
    441,186.75/701,085.38 = 701,085.38/x
  3. Step 3: Cross multiply
    441,186.75x = 701,085.38 × 701,085.38
  4. Step 4: Simplify right side
    441,186.75x = 491,520,703,038.89
  5. Step 5: Solve for x
    x = 491,520,703,038.89/441,186.75
  6. Step 6: Final answer
    x = 1,114,087.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.