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Finding the Third Proportional to 302,842.50 and 443,247

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Solution

The third proportional to 302,842.50 and 443,247 is: 648,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,842.50 : 443,247 = 443,247 : x
  2. Step 2: Convert to fraction form
    302,842.50/443,247 = 443,247/x
  3. Step 3: Cross multiply
    302,842.50x = 443,247 × 443,247
  4. Step 4: Simplify right side
    302,842.50x = 196,467,903,009
  5. Step 5: Solve for x
    x = 196,467,903,009/302,842.50
  6. Step 6: Final answer
    x = 648,746.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.