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Finding the Third Proportional to 286,895 and 630,408.25

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Solution

The third proportional to 286,895 and 630,408.25 is: 1,385,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,895 : 630,408.25 = 630,408.25 : x
  2. Step 2: Convert to fraction form
    286,895/630,408.25 = 630,408.25/x
  3. Step 3: Cross multiply
    286,895x = 630,408.25 × 630,408.25
  4. Step 4: Simplify right side
    286,895x = 397,414,561,668.06
  5. Step 5: Solve for x
    x = 397,414,561,668.06/286,895
  6. Step 6: Final answer
    x = 1,385,226.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.