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Finding the Third Proportional to 362,608 and 777,664

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Solution

The third proportional to 362,608 and 777,664 is: 1,667,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,608 : 777,664 = 777,664 : x
  2. Step 2: Convert to fraction form
    362,608/777,664 = 777,664/x
  3. Step 3: Cross multiply
    362,608x = 777,664 × 777,664
  4. Step 4: Simplify right side
    362,608x = 604,761,296,896
  5. Step 5: Solve for x
    x = 604,761,296,896/362,608
  6. Step 6: Final answer
    x = 1,667,810.13

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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.