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Finding the Third Proportional to 505,116 and 784,236

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Solution

The third proportional to 505,116 and 784,236 is: 1,217,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,116 : 784,236 = 784,236 : x
  2. Step 2: Convert to fraction form
    505,116/784,236 = 784,236/x
  3. Step 3: Cross multiply
    505,116x = 784,236 × 784,236
  4. Step 4: Simplify right side
    505,116x = 615,026,103,696
  5. Step 5: Solve for x
    x = 615,026,103,696/505,116
  6. Step 6: Final answer
    x = 1,217,593.79

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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.