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Finding the Third Proportional to 367,906 and 751,364

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Solution

The third proportional to 367,906 and 751,364 is: 1,534,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,906 : 751,364 = 751,364 : x
  2. Step 2: Convert to fraction form
    367,906/751,364 = 751,364/x
  3. Step 3: Cross multiply
    367,906x = 751,364 × 751,364
  4. Step 4: Simplify right side
    367,906x = 564,547,860,496
  5. Step 5: Solve for x
    x = 564,547,860,496/367,906
  6. Step 6: Final answer
    x = 1,534,489.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.