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Finding the Third Proportional to 285,990 and 609,978

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Solution

The third proportional to 285,990 and 609,978 is: 1,301,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,990 : 609,978 = 609,978 : x
  2. Step 2: Convert to fraction form
    285,990/609,978 = 609,978/x
  3. Step 3: Cross multiply
    285,990x = 609,978 × 609,978
  4. Step 4: Simplify right side
    285,990x = 372,073,160,484
  5. Step 5: Solve for x
    x = 372,073,160,484/285,990
  6. Step 6: Final answer
    x = 1,301,000.60

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.