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Finding the Third Proportional to 282,795.50 and 606,071

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Solution

The third proportional to 282,795.50 and 606,071 is: 1,298,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,795.50 : 606,071 = 606,071 : x
  2. Step 2: Convert to fraction form
    282,795.50/606,071 = 606,071/x
  3. Step 3: Cross multiply
    282,795.50x = 606,071 × 606,071
  4. Step 4: Simplify right side
    282,795.50x = 367,322,057,041
  5. Step 5: Solve for x
    x = 367,322,057,041/282,795.50
  6. Step 6: Final answer
    x = 1,298,896.40

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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.