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Finding the Third Proportional to 288,856 and 630,200

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Solution

The third proportional to 288,856 and 630,200 is: 1,374,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,856 : 630,200 = 630,200 : x
  2. Step 2: Convert to fraction form
    288,856/630,200 = 630,200/x
  3. Step 3: Cross multiply
    288,856x = 630,200 × 630,200
  4. Step 4: Simplify right side
    288,856x = 397,152,040,000
  5. Step 5: Solve for x
    x = 397,152,040,000/288,856
  6. Step 6: Final answer
    x = 1,374,913.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.