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Finding the Third Proportional to 280,914 and 614,379

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Solution

The third proportional to 280,914 and 614,379 is: 1,343,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,914 : 614,379 = 614,379 : x
  2. Step 2: Convert to fraction form
    280,914/614,379 = 614,379/x
  3. Step 3: Cross multiply
    280,914x = 614,379 × 614,379
  4. Step 4: Simplify right side
    280,914x = 377,461,555,641
  5. Step 5: Solve for x
    x = 377,461,555,641/280,914
  6. Step 6: Final answer
    x = 1,343,690.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.