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Finding the Third Proportional to 323,076 and 662,274

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Solution

The third proportional to 323,076 and 662,274 is: 1,357,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,076 : 662,274 = 662,274 : x
  2. Step 2: Convert to fraction form
    323,076/662,274 = 662,274/x
  3. Step 3: Cross multiply
    323,076x = 662,274 × 662,274
  4. Step 4: Simplify right side
    323,076x = 438,606,851,076
  5. Step 5: Solve for x
    x = 438,606,851,076/323,076
  6. Step 6: Final answer
    x = 1,357,596.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.