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Finding the Third Proportional to 282,778 and 606,034.50

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Solution

The third proportional to 282,778 and 606,034.50 is: 1,298,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,778 : 606,034.50 = 606,034.50 : x
  2. Step 2: Convert to fraction form
    282,778/606,034.50 = 606,034.50/x
  3. Step 3: Cross multiply
    282,778x = 606,034.50 × 606,034.50
  4. Step 4: Simplify right side
    282,778x = 367,277,815,190.25
  5. Step 5: Solve for x
    x = 367,277,815,190.25/282,778
  6. Step 6: Final answer
    x = 1,298,820.33

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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.