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Finding the Third Proportional to 312,046.50 and 468,076.50

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Solution

The third proportional to 312,046.50 and 468,076.50 is: 702,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,046.50 : 468,076.50 = 468,076.50 : x
  2. Step 2: Convert to fraction form
    312,046.50/468,076.50 = 468,076.50/x
  3. Step 3: Cross multiply
    312,046.50x = 468,076.50 × 468,076.50
  4. Step 4: Simplify right side
    312,046.50x = 219,095,609,852.25
  5. Step 5: Solve for x
    x = 219,095,609,852.25/312,046.50
  6. Step 6: Final answer
    x = 702,124.88

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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.