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Finding the Third Proportional to 233,454 and 455,244

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Solution

The third proportional to 233,454 and 455,244 is: 887,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,454 : 455,244 = 455,244 : x
  2. Step 2: Convert to fraction form
    233,454/455,244 = 455,244/x
  3. Step 3: Cross multiply
    233,454x = 455,244 × 455,244
  4. Step 4: Simplify right side
    233,454x = 207,247,099,536
  5. Step 5: Solve for x
    x = 207,247,099,536/233,454
  6. Step 6: Final answer
    x = 887,742.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.