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Finding the Third Proportional to 366,668 and 583,448

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Solution

The third proportional to 366,668 and 583,448 is: 928,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,668 : 583,448 = 583,448 : x
  2. Step 2: Convert to fraction form
    366,668/583,448 = 583,448/x
  3. Step 3: Cross multiply
    366,668x = 583,448 × 583,448
  4. Step 4: Simplify right side
    366,668x = 340,411,568,704
  5. Step 5: Solve for x
    x = 340,411,568,704/366,668
  6. Step 6: Final answer
    x = 928,391.81

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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.