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Finding the Third Proportional to 301,827 and 637,926

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Solution

The third proportional to 301,827 and 637,926 is: 1,348,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,827 : 637,926 = 637,926 : x
  2. Step 2: Convert to fraction form
    301,827/637,926 = 637,926/x
  3. Step 3: Cross multiply
    301,827x = 637,926 × 637,926
  4. Step 4: Simplify right side
    301,827x = 406,949,581,476
  5. Step 5: Solve for x
    x = 406,949,581,476/301,827
  6. Step 6: Final answer
    x = 1,348,287.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.