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Finding the Third Proportional to 389,130 and 845,328

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Solution

The third proportional to 389,130 and 845,328 is: 1,836,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,130 : 845,328 = 845,328 : x
  2. Step 2: Convert to fraction form
    389,130/845,328 = 845,328/x
  3. Step 3: Cross multiply
    389,130x = 845,328 × 845,328
  4. Step 4: Simplify right side
    389,130x = 714,579,427,584
  5. Step 5: Solve for x
    x = 714,579,427,584/389,130
  6. Step 6: Final answer
    x = 1,836,351.42

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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.