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Finding the Third Proportional to 319,076 and 493,999

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Solution

The third proportional to 319,076 and 493,999 is: 764,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,076 : 493,999 = 493,999 : x
  2. Step 2: Convert to fraction form
    319,076/493,999 = 493,999/x
  3. Step 3: Cross multiply
    319,076x = 493,999 × 493,999
  4. Step 4: Simplify right side
    319,076x = 244,035,012,001
  5. Step 5: Solve for x
    x = 244,035,012,001/319,076
  6. Step 6: Final answer
    x = 764,817.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.