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Finding the Third Proportional to 337,452 and 712,848

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Solution

The third proportional to 337,452 and 712,848 is: 1,505,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,452 : 712,848 = 712,848 : x
  2. Step 2: Convert to fraction form
    337,452/712,848 = 712,848/x
  3. Step 3: Cross multiply
    337,452x = 712,848 × 712,848
  4. Step 4: Simplify right side
    337,452x = 508,152,271,104
  5. Step 5: Solve for x
    x = 508,152,271,104/337,452
  6. Step 6: Final answer
    x = 1,505,850.52

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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.