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Finding the Third Proportional to 350,035 and 748,052

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Solution

The third proportional to 350,035 and 748,052 is: 1,598,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,035 : 748,052 = 748,052 : x
  2. Step 2: Convert to fraction form
    350,035/748,052 = 748,052/x
  3. Step 3: Cross multiply
    350,035x = 748,052 × 748,052
  4. Step 4: Simplify right side
    350,035x = 559,581,794,704
  5. Step 5: Solve for x
    x = 559,581,794,704/350,035
  6. Step 6: Final answer
    x = 1,598,645.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.