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Finding the Third Proportional to 305,544 and 448,951

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Solution

The third proportional to 305,544 and 448,951 is: 659,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,544 : 448,951 = 448,951 : x
  2. Step 2: Convert to fraction form
    305,544/448,951 = 448,951/x
  3. Step 3: Cross multiply
    305,544x = 448,951 × 448,951
  4. Step 4: Simplify right side
    305,544x = 201,557,000,401
  5. Step 5: Solve for x
    x = 201,557,000,401/305,544
  6. Step 6: Final answer
    x = 659,666.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.