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Finding the Third Proportional to 305,290 and 448,794

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Solution

The third proportional to 305,290 and 448,794 is: 659,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,290 : 448,794 = 448,794 : x
  2. Step 2: Convert to fraction form
    305,290/448,794 = 448,794/x
  3. Step 3: Cross multiply
    305,290x = 448,794 × 448,794
  4. Step 4: Simplify right side
    305,290x = 201,416,054,436
  5. Step 5: Solve for x
    x = 201,416,054,436/305,290
  6. Step 6: Final answer
    x = 659,753.20

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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.