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Finding the Third Proportional to 452,013 and 613,890

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Solution

The third proportional to 452,013 and 613,890 is: 833,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,013 : 613,890 = 613,890 : x
  2. Step 2: Convert to fraction form
    452,013/613,890 = 613,890/x
  3. Step 3: Cross multiply
    452,013x = 613,890 × 613,890
  4. Step 4: Simplify right side
    452,013x = 376,860,932,100
  5. Step 5: Solve for x
    x = 376,860,932,100/452,013
  6. Step 6: Final answer
    x = 833,739.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.