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Finding the Third Proportional to 301,040 and 450,084

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Solution

The third proportional to 301,040 and 450,084 is: 672,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,040 : 450,084 = 450,084 : x
  2. Step 2: Convert to fraction form
    301,040/450,084 = 450,084/x
  3. Step 3: Cross multiply
    301,040x = 450,084 × 450,084
  4. Step 4: Simplify right side
    301,040x = 202,575,607,056
  5. Step 5: Solve for x
    x = 202,575,607,056/301,040
  6. Step 6: Final answer
    x = 672,919.24

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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.