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Finding the Third Proportional to 310,807.35 and 464,293.67

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Solution

The third proportional to 310,807.35 and 464,293.67 is: 693,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,807.35 : 464,293.67 = 464,293.67 : x
  2. Step 2: Convert to fraction form
    310,807.35/464,293.67 = 464,293.67/x
  3. Step 3: Cross multiply
    310,807.35x = 464,293.67 × 464,293.67
  4. Step 4: Simplify right side
    310,807.35x = 215,568,608,358.89
  5. Step 5: Solve for x
    x = 215,568,608,358.89/310,807.35
  6. Step 6: Final answer
    x = 693,576.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.