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Finding the Third Proportional to 362,124 and 776,844

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Solution

The third proportional to 362,124 and 776,844 is: 1,666,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,124 : 776,844 = 776,844 : x
  2. Step 2: Convert to fraction form
    362,124/776,844 = 776,844/x
  3. Step 3: Cross multiply
    362,124x = 776,844 × 776,844
  4. Step 4: Simplify right side
    362,124x = 603,486,600,336
  5. Step 5: Solve for x
    x = 603,486,600,336/362,124
  6. Step 6: Final answer
    x = 1,666,519.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.