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Finding the Third Proportional to 391,966.75 and 858,668.25

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Solution

The third proportional to 391,966.75 and 858,668.25 is: 1,881,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,966.75 : 858,668.25 = 858,668.25 : x
  2. Step 2: Convert to fraction form
    391,966.75/858,668.25 = 858,668.25/x
  3. Step 3: Cross multiply
    391,966.75x = 858,668.25 × 858,668.25
  4. Step 4: Simplify right side
    391,966.75x = 737,311,163,558.06
  5. Step 5: Solve for x
    x = 737,311,163,558.06/391,966.75
  6. Step 6: Final answer
    x = 1,881,055.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.