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Finding the Third Proportional to 389,409.75 and 845,253

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Solution

The third proportional to 389,409.75 and 845,253 is: 1,834,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,409.75 : 845,253 = 845,253 : x
  2. Step 2: Convert to fraction form
    389,409.75/845,253 = 845,253/x
  3. Step 3: Cross multiply
    389,409.75x = 845,253 × 845,253
  4. Step 4: Simplify right side
    389,409.75x = 714,452,634,009
  5. Step 5: Solve for x
    x = 714,452,634,009/389,409.75
  6. Step 6: Final answer
    x = 1,834,706.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.