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Finding the Third Proportional to 301,098 and 443,329

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Solution

The third proportional to 301,098 and 443,329 is: 652,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098 : 443,329 = 443,329 : x
  2. Step 2: Convert to fraction form
    301,098/443,329 = 443,329/x
  3. Step 3: Cross multiply
    301,098x = 443,329 × 443,329
  4. Step 4: Simplify right side
    301,098x = 196,540,602,241
  5. Step 5: Solve for x
    x = 196,540,602,241/301,098
  6. Step 6: Final answer
    x = 652,746.29

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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.