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Finding the Third Proportional to 467,889 and 743,823

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Solution

The third proportional to 467,889 and 743,823 is: 1,182,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,889 : 743,823 = 743,823 : x
  2. Step 2: Convert to fraction form
    467,889/743,823 = 743,823/x
  3. Step 3: Cross multiply
    467,889x = 743,823 × 743,823
  4. Step 4: Simplify right side
    467,889x = 553,272,655,329
  5. Step 5: Solve for x
    x = 553,272,655,329/467,889
  6. Step 6: Final answer
    x = 1,182,486.99

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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.