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Finding the Third Proportional to 328,116 and 469,200

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Solution

The third proportional to 328,116 and 469,200 is: 670,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,116 : 469,200 = 469,200 : x
  2. Step 2: Convert to fraction form
    328,116/469,200 = 469,200/x
  3. Step 3: Cross multiply
    328,116x = 469,200 × 469,200
  4. Step 4: Simplify right side
    328,116x = 220,148,640,000
  5. Step 5: Solve for x
    x = 220,148,640,000/328,116
  6. Step 6: Final answer
    x = 670,947.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.