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Finding the Third Proportional to 319,941.50 and 700,147

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Solution

The third proportional to 319,941.50 and 700,147 is: 1,532,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,941.50 : 700,147 = 700,147 : x
  2. Step 2: Convert to fraction form
    319,941.50/700,147 = 700,147/x
  3. Step 3: Cross multiply
    319,941.50x = 700,147 × 700,147
  4. Step 4: Simplify right side
    319,941.50x = 490,205,821,609
  5. Step 5: Solve for x
    x = 490,205,821,609/319,941.50
  6. Step 6: Final answer
    x = 1,532,173.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.