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Finding the Third Proportional to 302,782.50 and 448,310.25

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Solution

The third proportional to 302,782.50 and 448,310.25 is: 663,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,782.50 : 448,310.25 = 448,310.25 : x
  2. Step 2: Convert to fraction form
    302,782.50/448,310.25 = 448,310.25/x
  3. Step 3: Cross multiply
    302,782.50x = 448,310.25 × 448,310.25
  4. Step 4: Simplify right side
    302,782.50x = 200,982,080,255.06
  5. Step 5: Solve for x
    x = 200,982,080,255.06/302,782.50
  6. Step 6: Final answer
    x = 663,783.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.