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Finding the Third Proportional to 335,795.63 and 725,719.50

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Solution

The third proportional to 335,795.63 and 725,719.50 is: 1,568,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,795.63 : 725,719.50 = 725,719.50 : x
  2. Step 2: Convert to fraction form
    335,795.63/725,719.50 = 725,719.50/x
  3. Step 3: Cross multiply
    335,795.63x = 725,719.50 × 725,719.50
  4. Step 4: Simplify right side
    335,795.63x = 526,668,792,680.25
  5. Step 5: Solve for x
    x = 526,668,792,680.25/335,795.63
  6. Step 6: Final answer
    x = 1,568,420.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.