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Finding the Third Proportional to 233,452 and 455,236

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Solution

The third proportional to 233,452 and 455,236 is: 887,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,452 : 455,236 = 455,236 : x
  2. Step 2: Convert to fraction form
    233,452/455,236 = 455,236/x
  3. Step 3: Cross multiply
    233,452x = 455,236 × 455,236
  4. Step 4: Simplify right side
    233,452x = 207,239,815,696
  5. Step 5: Solve for x
    x = 207,239,815,696/233,452
  6. Step 6: Final answer
    x = 887,719.17

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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.