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Finding the Third Proportional to 362,567 and 777,604

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Solution

The third proportional to 362,567 and 777,604 is: 1,667,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,567 : 777,604 = 777,604 : x
  2. Step 2: Convert to fraction form
    362,567/777,604 = 777,604/x
  3. Step 3: Cross multiply
    362,567x = 777,604 × 777,604
  4. Step 4: Simplify right side
    362,567x = 604,667,980,816
  5. Step 5: Solve for x
    x = 604,667,980,816/362,567
  6. Step 6: Final answer
    x = 1,667,741.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.