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Finding the Third Proportional to 602,740.13 and 820,817.44

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Solution

The third proportional to 602,740.13 and 820,817.44 is: 1,117,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,740.13 : 820,817.44 = 820,817.44 : x
  2. Step 2: Convert to fraction form
    602,740.13/820,817.44 = 820,817.44/x
  3. Step 3: Cross multiply
    602,740.13x = 820,817.44 × 820,817.44
  4. Step 4: Simplify right side
    602,740.13x = 673,741,265,704.07
  5. Step 5: Solve for x
    x = 673,741,265,704.07/602,740.13
  6. Step 6: Final answer
    x = 1,117,797.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.