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Finding the Third Proportional to 506,910.66 and 784,631.81

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Solution

The third proportional to 506,910.66 and 784,631.81 is: 1,214,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,910.66 : 784,631.81 = 784,631.81 : x
  2. Step 2: Convert to fraction form
    506,910.66/784,631.81 = 784,631.81/x
  3. Step 3: Cross multiply
    506,910.66x = 784,631.81 × 784,631.81
  4. Step 4: Simplify right side
    506,910.66x = 615,647,081,187.04
  5. Step 5: Solve for x
    x = 615,647,081,187.04/506,910.66
  6. Step 6: Final answer
    x = 1,214,508.07

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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.