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Finding the Third Proportional to 233,446 and 455,228

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Solution

The third proportional to 233,446 and 455,228 is: 887,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,446 : 455,228 = 455,228 : x
  2. Step 2: Convert to fraction form
    233,446/455,228 = 455,228/x
  3. Step 3: Cross multiply
    233,446x = 455,228 × 455,228
  4. Step 4: Simplify right side
    233,446x = 207,232,531,984
  5. Step 5: Solve for x
    x = 207,232,531,984/233,446
  6. Step 6: Final answer
    x = 887,710.79

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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.