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Finding the Third Proportional to 312,043.22 and 468,072.28

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Solution

The third proportional to 312,043.22 and 468,072.28 is: 702,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,043.22 : 468,072.28 = 468,072.28 : x
  2. Step 2: Convert to fraction form
    312,043.22/468,072.28 = 468,072.28/x
  3. Step 3: Cross multiply
    312,043.22x = 468,072.28 × 468,072.28
  4. Step 4: Simplify right side
    312,043.22x = 219,091,660,474.58
  5. Step 5: Solve for x
    x = 219,091,660,474.58/312,043.22
  6. Step 6: Final answer
    x = 702,119.60

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Why These Related Problems?

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