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Finding the Third Proportional to 282,769 and 606,016.50

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Solution

The third proportional to 282,769 and 606,016.50 is: 1,298,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,769 : 606,016.50 = 606,016.50 : x
  2. Step 2: Convert to fraction form
    282,769/606,016.50 = 606,016.50/x
  3. Step 3: Cross multiply
    282,769x = 606,016.50 × 606,016.50
  4. Step 4: Simplify right side
    282,769x = 367,255,998,272.25
  5. Step 5: Solve for x
    x = 367,255,998,272.25/282,769
  6. Step 6: Final answer
    x = 1,298,784.51

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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.