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Finding the Third Proportional to 366,147 and 771,660

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Solution

The third proportional to 366,147 and 771,660 is: 1,626,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,147 : 771,660 = 771,660 : x
  2. Step 2: Convert to fraction form
    366,147/771,660 = 771,660/x
  3. Step 3: Cross multiply
    366,147x = 771,660 × 771,660
  4. Step 4: Simplify right side
    366,147x = 595,459,155,600
  5. Step 5: Solve for x
    x = 595,459,155,600/366,147
  6. Step 6: Final answer
    x = 1,626,284.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.