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Finding the Third Proportional to 452,085 and 613,971

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Solution

The third proportional to 452,085 and 613,971 is: 833,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,085 : 613,971 = 613,971 : x
  2. Step 2: Convert to fraction form
    452,085/613,971 = 613,971/x
  3. Step 3: Cross multiply
    452,085x = 613,971 × 613,971
  4. Step 4: Simplify right side
    452,085x = 376,960,388,841
  5. Step 5: Solve for x
    x = 376,960,388,841/452,085
  6. Step 6: Final answer
    x = 833,826.36

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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.