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Finding the Third Proportional to 338,673 and 524,686

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Solution

The third proportional to 338,673 and 524,686 is: 812,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,673 : 524,686 = 524,686 : x
  2. Step 2: Convert to fraction form
    338,673/524,686 = 524,686/x
  3. Step 3: Cross multiply
    338,673x = 524,686 × 524,686
  4. Step 4: Simplify right side
    338,673x = 275,295,398,596
  5. Step 5: Solve for x
    x = 275,295,398,596/338,673
  6. Step 6: Final answer
    x = 812,864.91

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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.