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Finding the Third Proportional to 297,716 and 446,628

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Solution

The third proportional to 297,716 and 446,628 is: 670,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,716 : 446,628 = 446,628 : x
  2. Step 2: Convert to fraction form
    297,716/446,628 = 446,628/x
  3. Step 3: Cross multiply
    297,716x = 446,628 × 446,628
  4. Step 4: Simplify right side
    297,716x = 199,476,570,384
  5. Step 5: Solve for x
    x = 199,476,570,384/297,716
  6. Step 6: Final answer
    x = 670,023.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.