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Finding the Third Proportional to 281,828 and 435,864

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Solution

The third proportional to 281,828 and 435,864 is: 674,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,828 : 435,864 = 435,864 : x
  2. Step 2: Convert to fraction form
    281,828/435,864 = 435,864/x
  3. Step 3: Cross multiply
    281,828x = 435,864 × 435,864
  4. Step 4: Simplify right side
    281,828x = 189,977,426,496
  5. Step 5: Solve for x
    x = 189,977,426,496/281,828
  6. Step 6: Final answer
    x = 674,089.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.