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Finding the Third Proportional to 673,578 and 798,132

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Solution

The third proportional to 673,578 and 798,132 is: 945,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,578 : 798,132 = 798,132 : x
  2. Step 2: Convert to fraction form
    673,578/798,132 = 798,132/x
  3. Step 3: Cross multiply
    673,578x = 798,132 × 798,132
  4. Step 4: Simplify right side
    673,578x = 637,014,689,424
  5. Step 5: Solve for x
    x = 637,014,689,424/673,578
  6. Step 6: Final answer
    x = 945,717.78

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.