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Finding the Third Proportional to 233,799 and 507,450

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Solution

The third proportional to 233,799 and 507,450 is: 1,101,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,799 : 507,450 = 507,450 : x
  2. Step 2: Convert to fraction form
    233,799/507,450 = 507,450/x
  3. Step 3: Cross multiply
    233,799x = 507,450 × 507,450
  4. Step 4: Simplify right side
    233,799x = 257,505,502,500
  5. Step 5: Solve for x
    x = 257,505,502,500/233,799
  6. Step 6: Final answer
    x = 1,101,396.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.