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Finding the Third Proportional to 282,072 and 603,499.50

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Solution

The third proportional to 282,072 and 603,499.50 is: 1,291,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,072 : 603,499.50 = 603,499.50 : x
  2. Step 2: Convert to fraction form
    282,072/603,499.50 = 603,499.50/x
  3. Step 3: Cross multiply
    282,072x = 603,499.50 × 603,499.50
  4. Step 4: Simplify right side
    282,072x = 364,211,646,500.25
  5. Step 5: Solve for x
    x = 364,211,646,500.25/282,072
  6. Step 6: Final answer
    x = 1,291,200.99

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