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Finding the Third Proportional to 189,541 and 412,297

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Solution

The third proportional to 189,541 and 412,297 is: 896,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,541 : 412,297 = 412,297 : x
  2. Step 2: Convert to fraction form
    189,541/412,297 = 412,297/x
  3. Step 3: Cross multiply
    189,541x = 412,297 × 412,297
  4. Step 4: Simplify right side
    189,541x = 169,988,816,209
  5. Step 5: Solve for x
    x = 169,988,816,209/189,541
  6. Step 6: Final answer
    x = 896,844.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.