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Finding the Third Proportional to 301,146.75 and 443,394

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Solution

The third proportional to 301,146.75 and 443,394 is: 652,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,146.75 : 443,394 = 443,394 : x
  2. Step 2: Convert to fraction form
    301,146.75/443,394 = 443,394/x
  3. Step 3: Cross multiply
    301,146.75x = 443,394 × 443,394
  4. Step 4: Simplify right side
    301,146.75x = 196,598,239,236
  5. Step 5: Solve for x
    x = 196,598,239,236/301,146.75
  6. Step 6: Final answer
    x = 652,832.01

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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.