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Finding the Third Proportional to 282,771 and 606,020.50

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Solution

The third proportional to 282,771 and 606,020.50 is: 1,298,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,771 : 606,020.50 = 606,020.50 : x
  2. Step 2: Convert to fraction form
    282,771/606,020.50 = 606,020.50/x
  3. Step 3: Cross multiply
    282,771x = 606,020.50 × 606,020.50
  4. Step 4: Simplify right side
    282,771x = 367,260,846,420.25
  5. Step 5: Solve for x
    x = 367,260,846,420.25/282,771
  6. Step 6: Final answer
    x = 1,298,792.47

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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.