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Finding the Third Proportional to 362,323.13 and 787,078.27

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Solution

The third proportional to 362,323.13 and 787,078.27 is: 1,709,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,323.13 : 787,078.27 = 787,078.27 : x
  2. Step 2: Convert to fraction form
    362,323.13/787,078.27 = 787,078.27/x
  3. Step 3: Cross multiply
    362,323.13x = 787,078.27 × 787,078.27
  4. Step 4: Simplify right side
    362,323.13x = 619,492,196,219.26
  5. Step 5: Solve for x
    x = 619,492,196,219.26/362,323.13
  6. Step 6: Final answer
    x = 1,709,778.24

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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.