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Finding the Third Proportional to 286,458 and 630,116

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Solution

The third proportional to 286,458 and 630,116 is: 1,386,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,458 : 630,116 = 630,116 : x
  2. Step 2: Convert to fraction form
    286,458/630,116 = 630,116/x
  3. Step 3: Cross multiply
    286,458x = 630,116 × 630,116
  4. Step 4: Simplify right side
    286,458x = 397,046,173,456
  5. Step 5: Solve for x
    x = 397,046,173,456/286,458
  6. Step 6: Final answer
    x = 1,386,053.71

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Why These Related Problems?

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