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Finding the Third Proportional to 350,724 and 767,052

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Solution

The third proportional to 350,724 and 767,052 is: 1,677,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,724 : 767,052 = 767,052 : x
  2. Step 2: Convert to fraction form
    350,724/767,052 = 767,052/x
  3. Step 3: Cross multiply
    350,724x = 767,052 × 767,052
  4. Step 4: Simplify right side
    350,724x = 588,368,770,704
  5. Step 5: Solve for x
    x = 588,368,770,704/350,724
  6. Step 6: Final answer
    x = 1,677,583.43

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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.