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Finding the Third Proportional to 458,784 and 674,788.22

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Solution

The third proportional to 458,784 and 674,788.22 is: 992,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,784 : 674,788.22 = 674,788.22 : x
  2. Step 2: Convert to fraction form
    458,784/674,788.22 = 674,788.22/x
  3. Step 3: Cross multiply
    458,784x = 674,788.22 × 674,788.22
  4. Step 4: Simplify right side
    458,784x = 455,339,140,163.80
  5. Step 5: Solve for x
    x = 455,339,140,163.80/458,784
  6. Step 6: Final answer
    x = 992,491.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.