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Finding the Third Proportional to 420,912 and 631,848

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Solution

The third proportional to 420,912 and 631,848 is: 948,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,912 : 631,848 = 631,848 : x
  2. Step 2: Convert to fraction form
    420,912/631,848 = 631,848/x
  3. Step 3: Cross multiply
    420,912x = 631,848 × 631,848
  4. Step 4: Simplify right side
    420,912x = 399,231,895,104
  5. Step 5: Solve for x
    x = 399,231,895,104/420,912
  6. Step 6: Final answer
    x = 948,492.55

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Why These Related Problems?

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