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Finding the Third Proportional to 267,138 and 630,625.50

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Solution

The third proportional to 267,138 and 630,625.50 is: 1,488,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,138 : 630,625.50 = 630,625.50 : x
  2. Step 2: Convert to fraction form
    267,138/630,625.50 = 630,625.50/x
  3. Step 3: Cross multiply
    267,138x = 630,625.50 × 630,625.50
  4. Step 4: Simplify right side
    267,138x = 397,688,521,250.25
  5. Step 5: Solve for x
    x = 397,688,521,250.25/267,138
  6. Step 6: Final answer
    x = 1,488,700.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.