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Finding the Third Proportional to 291,648 and 636,000

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Solution

The third proportional to 291,648 and 636,000 is: 1,386,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,648 : 636,000 = 636,000 : x
  2. Step 2: Convert to fraction form
    291,648/636,000 = 636,000/x
  3. Step 3: Cross multiply
    291,648x = 636,000 × 636,000
  4. Step 4: Simplify right side
    291,648x = 404,496,000,000
  5. Step 5: Solve for x
    x = 404,496,000,000/291,648
  6. Step 6: Final answer
    x = 1,386,932.19

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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.