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Finding the Third Proportional to 493,026 and 760,425

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Solution

The third proportional to 493,026 and 760,425 is: 1,172,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,026 : 760,425 = 760,425 : x
  2. Step 2: Convert to fraction form
    493,026/760,425 = 760,425/x
  3. Step 3: Cross multiply
    493,026x = 760,425 × 760,425
  4. Step 4: Simplify right side
    493,026x = 578,246,180,625
  5. Step 5: Solve for x
    x = 578,246,180,625/493,026
  6. Step 6: Final answer
    x = 1,172,851.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.