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Finding the Third Proportional to 286,182 and 621,573

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Solution

The third proportional to 286,182 and 621,573 is: 1,350,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,182 : 621,573 = 621,573 : x
  2. Step 2: Convert to fraction form
    286,182/621,573 = 621,573/x
  3. Step 3: Cross multiply
    286,182x = 621,573 × 621,573
  4. Step 4: Simplify right side
    286,182x = 386,352,994,329
  5. Step 5: Solve for x
    x = 386,352,994,329/286,182
  6. Step 6: Final answer
    x = 1,350,025.49

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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.