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Finding the Third Proportional to 286,198 and 621,560

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Solution

The third proportional to 286,198 and 621,560 is: 1,349,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,198 : 621,560 = 621,560 : x
  2. Step 2: Convert to fraction form
    286,198/621,560 = 621,560/x
  3. Step 3: Cross multiply
    286,198x = 621,560 × 621,560
  4. Step 4: Simplify right side
    286,198x = 386,336,833,600
  5. Step 5: Solve for x
    x = 386,336,833,600/286,198
  6. Step 6: Final answer
    x = 1,349,893.55

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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.