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Finding the Third Proportional to 362,219 and 786,669

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Solution

The third proportional to 362,219 and 786,669 is: 1,708,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,219 : 786,669 = 786,669 : x
  2. Step 2: Convert to fraction form
    362,219/786,669 = 786,669/x
  3. Step 3: Cross multiply
    362,219x = 786,669 × 786,669
  4. Step 4: Simplify right side
    362,219x = 618,848,115,561
  5. Step 5: Solve for x
    x = 618,848,115,561/362,219
  6. Step 6: Final answer
    x = 1,708,491.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.