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Finding the Third Proportional to 282,219 and 603,717

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Solution

The third proportional to 282,219 and 603,717 is: 1,291,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,219 : 603,717 = 603,717 : x
  2. Step 2: Convert to fraction form
    282,219/603,717 = 603,717/x
  3. Step 3: Cross multiply
    282,219x = 603,717 × 603,717
  4. Step 4: Simplify right side
    282,219x = 364,474,216,089
  5. Step 5: Solve for x
    x = 364,474,216,089/282,219
  6. Step 6: Final answer
    x = 1,291,458.82

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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.