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Finding the Third Proportional to 362,569 and 777,608

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Solution

The third proportional to 362,569 and 777,608 is: 1,667,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,569 : 777,608 = 777,608 : x
  2. Step 2: Convert to fraction form
    362,569/777,608 = 777,608/x
  3. Step 3: Cross multiply
    362,569x = 777,608 × 777,608
  4. Step 4: Simplify right side
    362,569x = 604,674,201,664
  5. Step 5: Solve for x
    x = 604,674,201,664/362,569
  6. Step 6: Final answer
    x = 1,667,749.32

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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.