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Finding the Third Proportional to 338,114 and 713,951

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Solution

The third proportional to 338,114 and 713,951 is: 1,507,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,114 : 713,951 = 713,951 : x
  2. Step 2: Convert to fraction form
    338,114/713,951 = 713,951/x
  3. Step 3: Cross multiply
    338,114x = 713,951 × 713,951
  4. Step 4: Simplify right side
    338,114x = 509,726,030,401
  5. Step 5: Solve for x
    x = 509,726,030,401/338,114
  6. Step 6: Final answer
    x = 1,507,556.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.