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Finding the Third Proportional to 297,194 and 648,580

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Solution

The third proportional to 297,194 and 648,580 is: 1,415,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,194 : 648,580 = 648,580 : x
  2. Step 2: Convert to fraction form
    297,194/648,580 = 648,580/x
  3. Step 3: Cross multiply
    297,194x = 648,580 × 648,580
  4. Step 4: Simplify right side
    297,194x = 420,656,016,400
  5. Step 5: Solve for x
    x = 420,656,016,400/297,194
  6. Step 6: Final answer
    x = 1,415,425.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.