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Finding the Third Proportional to 302,469.50 and 411,030.75

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Solution

The third proportional to 302,469.50 and 411,030.75 is: 558,556.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,469.50 : 411,030.75 = 411,030.75 : x
  2. Step 2: Convert to fraction form
    302,469.50/411,030.75 = 411,030.75/x
  3. Step 3: Cross multiply
    302,469.50x = 411,030.75 × 411,030.75
  4. Step 4: Simplify right side
    302,469.50x = 168,946,277,445.56
  5. Step 5: Solve for x
    x = 168,946,277,445.56/302,469.50
  6. Step 6: Final answer
    x = 558,556.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.