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Finding the Third Proportional to 435,654 and 666,297

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Solution

The third proportional to 435,654 and 666,297 is: 1,019,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,654 : 666,297 = 666,297 : x
  2. Step 2: Convert to fraction form
    435,654/666,297 = 666,297/x
  3. Step 3: Cross multiply
    435,654x = 666,297 × 666,297
  4. Step 4: Simplify right side
    435,654x = 443,951,692,209
  5. Step 5: Solve for x
    x = 443,951,692,209/435,654
  6. Step 6: Final answer
    x = 1,019,046.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.