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Finding the Third Proportional to 350,356 and 766,145

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Solution

The third proportional to 350,356 and 766,145 is: 1,675,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,356 : 766,145 = 766,145 : x
  2. Step 2: Convert to fraction form
    350,356/766,145 = 766,145/x
  3. Step 3: Cross multiply
    350,356x = 766,145 × 766,145
  4. Step 4: Simplify right side
    350,356x = 586,978,161,025
  5. Step 5: Solve for x
    x = 586,978,161,025/350,356
  6. Step 6: Final answer
    x = 1,675,376.36

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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.