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Finding the Third Proportional to 233,458 and 455,252

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Solution

The third proportional to 233,458 and 455,252 is: 887,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,458 : 455,252 = 455,252 : x
  2. Step 2: Convert to fraction form
    233,458/455,252 = 455,252/x
  3. Step 3: Cross multiply
    233,458x = 455,252 × 455,252
  4. Step 4: Simplify right side
    233,458x = 207,254,383,504
  5. Step 5: Solve for x
    x = 207,254,383,504/233,458
  6. Step 6: Final answer
    x = 887,758.76

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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.