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Finding the Third Proportional to 301,329 and 442,152

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Solution

The third proportional to 301,329 and 442,152 is: 648,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,329 : 442,152 = 442,152 : x
  2. Step 2: Convert to fraction form
    301,329/442,152 = 442,152/x
  3. Step 3: Cross multiply
    301,329x = 442,152 × 442,152
  4. Step 4: Simplify right side
    301,329x = 195,498,391,104
  5. Step 5: Solve for x
    x = 195,498,391,104/301,329
  6. Step 6: Final answer
    x = 648,787.18

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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.