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Finding the Third Proportional to 291,068 and 636,247

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Solution

The third proportional to 291,068 and 636,247 is: 1,390,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,068 : 636,247 = 636,247 : x
  2. Step 2: Convert to fraction form
    291,068/636,247 = 636,247/x
  3. Step 3: Cross multiply
    291,068x = 636,247 × 636,247
  4. Step 4: Simplify right side
    291,068x = 404,810,245,009
  5. Step 5: Solve for x
    x = 404,810,245,009/291,068
  6. Step 6: Final answer
    x = 1,390,775.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.