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Finding the Third Proportional to 319,941 and 700,145

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Solution

The third proportional to 319,941 and 700,145 is: 1,532,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,941 : 700,145 = 700,145 : x
  2. Step 2: Convert to fraction form
    319,941/700,145 = 700,145/x
  3. Step 3: Cross multiply
    319,941x = 700,145 × 700,145
  4. Step 4: Simplify right side
    319,941x = 490,203,021,025
  5. Step 5: Solve for x
    x = 490,203,021,025/319,941
  6. Step 6: Final answer
    x = 1,532,166.93

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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.