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Finding the Third Proportional to 362,510.44 and 787,289.63

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Solution

The third proportional to 362,510.44 and 787,289.63 is: 1,709,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,510.44 : 787,289.63 = 787,289.63 : x
  2. Step 2: Convert to fraction form
    362,510.44/787,289.63 = 787,289.63/x
  3. Step 3: Cross multiply
    362,510.44x = 787,289.63 × 787,289.63
  4. Step 4: Simplify right side
    362,510.44x = 619,824,953,632.64
  5. Step 5: Solve for x
    x = 619,824,953,632.64/362,510.44
  6. Step 6: Final answer
    x = 1,709,812.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.