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Finding the Third Proportional to 253,161.35 and 597,611.39

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Solution

The third proportional to 253,161.35 and 597,611.39 is: 1,410,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,161.35 : 597,611.39 = 597,611.39 : x
  2. Step 2: Convert to fraction form
    253,161.35/597,611.39 = 597,611.39/x
  3. Step 3: Cross multiply
    253,161.35x = 597,611.39 × 597,611.39
  4. Step 4: Simplify right side
    253,161.35x = 357,139,374,204.75
  5. Step 5: Solve for x
    x = 357,139,374,204.75/253,161.35
  6. Step 6: Final answer
    x = 1,410,718.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.