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Finding the Third Proportional to 366,971 and 767,233

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Solution

The third proportional to 366,971 and 767,233 is: 1,604,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,971 : 767,233 = 767,233 : x
  2. Step 2: Convert to fraction form
    366,971/767,233 = 767,233/x
  3. Step 3: Cross multiply
    366,971x = 767,233 × 767,233
  4. Step 4: Simplify right side
    366,971x = 588,646,476,289
  5. Step 5: Solve for x
    x = 588,646,476,289/366,971
  6. Step 6: Final answer
    x = 1,604,068.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.