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Finding the Third Proportional to 396,036.75 and 841,158

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Solution

The third proportional to 396,036.75 and 841,158 is: 1,786,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,036.75 : 841,158 = 841,158 : x
  2. Step 2: Convert to fraction form
    396,036.75/841,158 = 841,158/x
  3. Step 3: Cross multiply
    396,036.75x = 841,158 × 841,158
  4. Step 4: Simplify right side
    396,036.75x = 707,546,780,964
  5. Step 5: Solve for x
    x = 707,546,780,964/396,036.75
  6. Step 6: Final answer
    x = 1,786,568.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.