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Finding the Third Proportional to 282,251 and 603,346

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Solution

The third proportional to 282,251 and 603,346 is: 1,289,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,251 : 603,346 = 603,346 : x
  2. Step 2: Convert to fraction form
    282,251/603,346 = 603,346/x
  3. Step 3: Cross multiply
    282,251x = 603,346 × 603,346
  4. Step 4: Simplify right side
    282,251x = 364,026,395,716
  5. Step 5: Solve for x
    x = 364,026,395,716/282,251
  6. Step 6: Final answer
    x = 1,289,725.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.