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Finding the Third Proportional to 505,108 and 784,224

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Solution

The third proportional to 505,108 and 784,224 is: 1,217,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,108 : 784,224 = 784,224 : x
  2. Step 2: Convert to fraction form
    505,108/784,224 = 784,224/x
  3. Step 3: Cross multiply
    505,108x = 784,224 × 784,224
  4. Step 4: Simplify right side
    505,108x = 615,007,282,176
  5. Step 5: Solve for x
    x = 615,007,282,176/505,108
  6. Step 6: Final answer
    x = 1,217,575.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.