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Finding the Third Proportional to 302,980.50 and 448,615.13

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Solution

The third proportional to 302,980.50 and 448,615.13 is: 664,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,980.50 : 448,615.13 = 448,615.13 : x
  2. Step 2: Convert to fraction form
    302,980.50/448,615.13 = 448,615.13/x
  3. Step 3: Cross multiply
    302,980.50x = 448,615.13 × 448,615.13
  4. Step 4: Simplify right side
    302,980.50x = 201,255,530,378.77
  5. Step 5: Solve for x
    x = 201,255,530,378.77/302,980.50
  6. Step 6: Final answer
    x = 664,252.42

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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.