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Finding the Third Proportional to 451,998 and 663,234.75

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Solution

The third proportional to 451,998 and 663,234.75 is: 973,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,998 : 663,234.75 = 663,234.75 : x
  2. Step 2: Convert to fraction form
    451,998/663,234.75 = 663,234.75/x
  3. Step 3: Cross multiply
    451,998x = 663,234.75 × 663,234.75
  4. Step 4: Simplify right side
    451,998x = 439,880,333,607.56
  5. Step 5: Solve for x
    x = 439,880,333,607.56/451,998
  6. Step 6: Final answer
    x = 973,190.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.