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Finding the Third Proportional to 312,968 and 468,252

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Solution

The third proportional to 312,968 and 468,252 is: 700,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,968 : 468,252 = 468,252 : x
  2. Step 2: Convert to fraction form
    312,968/468,252 = 468,252/x
  3. Step 3: Cross multiply
    312,968x = 468,252 × 468,252
  4. Step 4: Simplify right side
    312,968x = 219,259,935,504
  5. Step 5: Solve for x
    x = 219,259,935,504/312,968
  6. Step 6: Final answer
    x = 700,582.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.