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Finding the Third Proportional to 362,584 and 777,632

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Solution

The third proportional to 362,584 and 777,632 is: 1,667,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,584 : 777,632 = 777,632 : x
  2. Step 2: Convert to fraction form
    362,584/777,632 = 777,632/x
  3. Step 3: Cross multiply
    362,584x = 777,632 × 777,632
  4. Step 4: Simplify right side
    362,584x = 604,711,527,424
  5. Step 5: Solve for x
    x = 604,711,527,424/362,584
  6. Step 6: Final answer
    x = 1,667,783.27

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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.