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Finding the Third Proportional to 262,026 and 415,575

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Solution

The third proportional to 262,026 and 415,575 is: 659,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,026 : 415,575 = 415,575 : x
  2. Step 2: Convert to fraction form
    262,026/415,575 = 415,575/x
  3. Step 3: Cross multiply
    262,026x = 415,575 × 415,575
  4. Step 4: Simplify right side
    262,026x = 172,702,580,625
  5. Step 5: Solve for x
    x = 172,702,580,625/262,026
  6. Step 6: Final answer
    x = 659,104.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.