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Finding the Third Proportional to 286,775 and 630,169

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Solution

The third proportional to 286,775 and 630,169 is: 1,384,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,775 : 630,169 = 630,169 : x
  2. Step 2: Convert to fraction form
    286,775/630,169 = 630,169/x
  3. Step 3: Cross multiply
    286,775x = 630,169 × 630,169
  4. Step 4: Simplify right side
    286,775x = 397,112,968,561
  5. Step 5: Solve for x
    x = 397,112,968,561/286,775
  6. Step 6: Final answer
    x = 1,384,754.49

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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.