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Finding the Third Proportional to 319,556 and 702,171

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Solution

The third proportional to 319,556 and 702,171 is: 1,542,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,556 : 702,171 = 702,171 : x
  2. Step 2: Convert to fraction form
    319,556/702,171 = 702,171/x
  3. Step 3: Cross multiply
    319,556x = 702,171 × 702,171
  4. Step 4: Simplify right side
    319,556x = 493,044,113,241
  5. Step 5: Solve for x
    x = 493,044,113,241/319,556
  6. Step 6: Final answer
    x = 1,542,903.63

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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.