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Finding the Third Proportional to 233,448 and 455,232

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Solution

The third proportional to 233,448 and 455,232 is: 887,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,448 : 455,232 = 455,232 : x
  2. Step 2: Convert to fraction form
    233,448/455,232 = 455,232/x
  3. Step 3: Cross multiply
    233,448x = 455,232 × 455,232
  4. Step 4: Simplify right side
    233,448x = 207,236,173,824
  5. Step 5: Solve for x
    x = 207,236,173,824/233,448
  6. Step 6: Final answer
    x = 887,718.78

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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.