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Finding the Third Proportional to 350,360 and 766,146

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Solution

The third proportional to 350,360 and 766,146 is: 1,675,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,360 : 766,146 = 766,146 : x
  2. Step 2: Convert to fraction form
    350,360/766,146 = 766,146/x
  3. Step 3: Cross multiply
    350,360x = 766,146 × 766,146
  4. Step 4: Simplify right side
    350,360x = 586,979,693,316
  5. Step 5: Solve for x
    x = 586,979,693,316/350,360
  6. Step 6: Final answer
    x = 1,675,361.61

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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.