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Finding the Third Proportional to 362,574 and 777,615

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Solution

The third proportional to 362,574 and 777,615 is: 1,667,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,574 : 777,615 = 777,615 : x
  2. Step 2: Convert to fraction form
    362,574/777,615 = 777,615/x
  3. Step 3: Cross multiply
    362,574x = 777,615 × 777,615
  4. Step 4: Simplify right side
    362,574x = 604,685,088,225
  5. Step 5: Solve for x
    x = 604,685,088,225/362,574
  6. Step 6: Final answer
    x = 1,667,756.34

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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.