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Finding the Third Proportional to 341,531.44 and 493,408.13

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Solution

The third proportional to 341,531.44 and 493,408.13 is: 712,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,531.44 : 493,408.13 = 493,408.13 : x
  2. Step 2: Convert to fraction form
    341,531.44/493,408.13 = 493,408.13/x
  3. Step 3: Cross multiply
    341,531.44x = 493,408.13 × 493,408.13
  4. Step 4: Simplify right side
    341,531.44x = 243,451,577,816.02
  5. Step 5: Solve for x
    x = 243,451,577,816.02/341,531.44
  6. Step 6: Final answer
    x = 712,823.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.