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Finding the Third Proportional to 291,740 and 644,716

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Solution

The third proportional to 291,740 and 644,716 is: 1,424,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,740 : 644,716 = 644,716 : x
  2. Step 2: Convert to fraction form
    291,740/644,716 = 644,716/x
  3. Step 3: Cross multiply
    291,740x = 644,716 × 644,716
  4. Step 4: Simplify right side
    291,740x = 415,658,720,656
  5. Step 5: Solve for x
    x = 415,658,720,656/291,740
  6. Step 6: Final answer
    x = 1,424,757.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.