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Finding the Third Proportional to 517,574 and 823,017

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Solution

The third proportional to 517,574 and 823,017 is: 1,308,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,574 : 823,017 = 823,017 : x
  2. Step 2: Convert to fraction form
    517,574/823,017 = 823,017/x
  3. Step 3: Cross multiply
    517,574x = 823,017 × 823,017
  4. Step 4: Simplify right side
    517,574x = 677,356,982,289
  5. Step 5: Solve for x
    x = 677,356,982,289/517,574
  6. Step 6: Final answer
    x = 1,308,715.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.