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Finding the Third Proportional to 369,872 and 556,936

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Solution

The third proportional to 369,872 and 556,936 is: 838,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,872 : 556,936 = 556,936 : x
  2. Step 2: Convert to fraction form
    369,872/556,936 = 556,936/x
  3. Step 3: Cross multiply
    369,872x = 556,936 × 556,936
  4. Step 4: Simplify right side
    369,872x = 310,177,708,096
  5. Step 5: Solve for x
    x = 310,177,708,096/369,872
  6. Step 6: Final answer
    x = 838,608.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.