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Finding the Third Proportional to 407,533 and 893,799

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Solution

The third proportional to 407,533 and 893,799 is: 1,960,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,533 : 893,799 = 893,799 : x
  2. Step 2: Convert to fraction form
    407,533/893,799 = 893,799/x
  3. Step 3: Cross multiply
    407,533x = 893,799 × 893,799
  4. Step 4: Simplify right side
    407,533x = 798,876,652,401
  5. Step 5: Solve for x
    x = 798,876,652,401/407,533
  6. Step 6: Final answer
    x = 1,960,274.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.