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Finding the Third Proportional to 350,355 and 766,138

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Solution

The third proportional to 350,355 and 766,138 is: 1,675,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,355 : 766,138 = 766,138 : x
  2. Step 2: Convert to fraction form
    350,355/766,138 = 766,138/x
  3. Step 3: Cross multiply
    350,355x = 766,138 × 766,138
  4. Step 4: Simplify right side
    350,355x = 586,967,435,044
  5. Step 5: Solve for x
    x = 586,967,435,044/350,355
  6. Step 6: Final answer
    x = 1,675,350.53

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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.