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Finding the Third Proportional to 264,408.75 and 402,809.63

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Solution

The third proportional to 264,408.75 and 402,809.63 is: 613,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,408.75 : 402,809.63 = 402,809.63 : x
  2. Step 2: Convert to fraction form
    264,408.75/402,809.63 = 402,809.63/x
  3. Step 3: Cross multiply
    264,408.75x = 402,809.63 × 402,809.63
  4. Step 4: Simplify right side
    264,408.75x = 162,255,593,992.64
  5. Step 5: Solve for x
    x = 162,255,593,992.64/264,408.75
  6. Step 6: Final answer
    x = 613,654.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.