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Finding the Third Proportional to 301,097 and 443,323

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Solution

The third proportional to 301,097 and 443,323 is: 652,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,097 : 443,323 = 443,323 : x
  2. Step 2: Convert to fraction form
    301,097/443,323 = 443,323/x
  3. Step 3: Cross multiply
    301,097x = 443,323 × 443,323
  4. Step 4: Simplify right side
    301,097x = 196,535,282,329
  5. Step 5: Solve for x
    x = 196,535,282,329/301,097
  6. Step 6: Final answer
    x = 652,730.79

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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.