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Finding the Third Proportional to 319,035 and 700,964

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Solution

The third proportional to 319,035 and 700,964 is: 1,540,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,035 : 700,964 = 700,964 : x
  2. Step 2: Convert to fraction form
    319,035/700,964 = 700,964/x
  3. Step 3: Cross multiply
    319,035x = 700,964 × 700,964
  4. Step 4: Simplify right side
    319,035x = 491,350,529,296
  5. Step 5: Solve for x
    x = 491,350,529,296/319,035
  6. Step 6: Final answer
    x = 1,540,114.81

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Why These Related Problems?

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