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Finding the Third Proportional to 295,378.50 and 647,961

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Solution

The third proportional to 295,378.50 and 647,961 is: 1,421,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,378.50 : 647,961 = 647,961 : x
  2. Step 2: Convert to fraction form
    295,378.50/647,961 = 647,961/x
  3. Step 3: Cross multiply
    295,378.50x = 647,961 × 647,961
  4. Step 4: Simplify right side
    295,378.50x = 419,853,457,521
  5. Step 5: Solve for x
    x = 419,853,457,521/295,378.50
  6. Step 6: Final answer
    x = 1,421,408.32

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