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Finding the Third Proportional to 233,000 and 505,552

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Solution

The third proportional to 233,000 and 505,552 is: 1,096,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,000 : 505,552 = 505,552 : x
  2. Step 2: Convert to fraction form
    233,000/505,552 = 505,552/x
  3. Step 3: Cross multiply
    233,000x = 505,552 × 505,552
  4. Step 4: Simplify right side
    233,000x = 255,582,824,704
  5. Step 5: Solve for x
    x = 255,582,824,704/233,000
  6. Step 6: Final answer
    x = 1,096,921.99

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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.