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Finding the Third Proportional to 422,778 and 654,351.50

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Solution

The third proportional to 422,778 and 654,351.50 is: 1,012,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,778 : 654,351.50 = 654,351.50 : x
  2. Step 2: Convert to fraction form
    422,778/654,351.50 = 654,351.50/x
  3. Step 3: Cross multiply
    422,778x = 654,351.50 × 654,351.50
  4. Step 4: Simplify right side
    422,778x = 428,175,885,552.25
  5. Step 5: Solve for x
    x = 428,175,885,552.25/422,778
  6. Step 6: Final answer
    x = 1,012,767.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.