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Finding the Third Proportional to 366,957 and 583,821

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Solution

The third proportional to 366,957 and 583,821 is: 928,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,957 : 583,821 = 583,821 : x
  2. Step 2: Convert to fraction form
    366,957/583,821 = 583,821/x
  3. Step 3: Cross multiply
    366,957x = 583,821 × 583,821
  4. Step 4: Simplify right side
    366,957x = 340,846,960,041
  5. Step 5: Solve for x
    x = 340,846,960,041/366,957
  6. Step 6: Final answer
    x = 928,847.14

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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.