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Finding the Third Proportional to 329,078.95 and 505,593.14

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Solution

The third proportional to 329,078.95 and 505,593.14 is: 776,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,078.95 : 505,593.14 = 505,593.14 : x
  2. Step 2: Convert to fraction form
    329,078.95/505,593.14 = 505,593.14/x
  3. Step 3: Cross multiply
    329,078.95x = 505,593.14 × 505,593.14
  4. Step 4: Simplify right side
    329,078.95x = 255,624,423,847.05
  5. Step 5: Solve for x
    x = 255,624,423,847.05/329,078.95
  6. Step 6: Final answer
    x = 776,787.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.