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Finding the Third Proportional to 319,044 and 700,980

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Solution

The third proportional to 319,044 and 700,980 is: 1,540,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,044 : 700,980 = 700,980 : x
  2. Step 2: Convert to fraction form
    319,044/700,980 = 700,980/x
  3. Step 3: Cross multiply
    319,044x = 700,980 × 700,980
  4. Step 4: Simplify right side
    319,044x = 491,372,960,400
  5. Step 5: Solve for x
    x = 491,372,960,400/319,044
  6. Step 6: Final answer
    x = 1,540,141.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.