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Finding the Third Proportional to 664,908.75 and 973,650.38

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Solution

The third proportional to 664,908.75 and 973,650.38 is: 1,425,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,908.75 : 973,650.38 = 973,650.38 : x
  2. Step 2: Convert to fraction form
    664,908.75/973,650.38 = 973,650.38/x
  3. Step 3: Cross multiply
    664,908.75x = 973,650.38 × 973,650.38
  4. Step 4: Simplify right side
    664,908.75x = 947,995,052,737.64
  5. Step 5: Solve for x
    x = 947,995,052,737.64/664,908.75
  6. Step 6: Final answer
    x = 1,425,752.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.