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Finding the Third Proportional to 258,722 and 386,485

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Solution

The third proportional to 258,722 and 386,485 is: 577,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,722 : 386,485 = 386,485 : x
  2. Step 2: Convert to fraction form
    258,722/386,485 = 386,485/x
  3. Step 3: Cross multiply
    258,722x = 386,485 × 386,485
  4. Step 4: Simplify right side
    258,722x = 149,370,655,225
  5. Step 5: Solve for x
    x = 149,370,655,225/258,722
  6. Step 6: Final answer
    x = 577,340.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.