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Finding the Third Proportional to 517,439 and 784,906

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Solution

The third proportional to 517,439 and 784,906 is: 1,190,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,439 : 784,906 = 784,906 : x
  2. Step 2: Convert to fraction form
    517,439/784,906 = 784,906/x
  3. Step 3: Cross multiply
    517,439x = 784,906 × 784,906
  4. Step 4: Simplify right side
    517,439x = 616,077,428,836
  5. Step 5: Solve for x
    x = 616,077,428,836/517,439
  6. Step 6: Final answer
    x = 1,190,628.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.