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Finding the Third Proportional to 301,212 and 451,854

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Solution

The third proportional to 301,212 and 451,854 is: 677,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,212 : 451,854 = 451,854 : x
  2. Step 2: Convert to fraction form
    301,212/451,854 = 451,854/x
  3. Step 3: Cross multiply
    301,212x = 451,854 × 451,854
  4. Step 4: Simplify right side
    301,212x = 204,172,037,316
  5. Step 5: Solve for x
    x = 204,172,037,316/301,212
  6. Step 6: Final answer
    x = 677,835.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.