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Finding the Third Proportional to 294,576.75 and 447,332.63

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Solution

The third proportional to 294,576.75 and 447,332.63 is: 679,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,576.75 : 447,332.63 = 447,332.63 : x
  2. Step 2: Convert to fraction form
    294,576.75/447,332.63 = 447,332.63/x
  3. Step 3: Cross multiply
    294,576.75x = 447,332.63 × 447,332.63
  4. Step 4: Simplify right side
    294,576.75x = 200,106,477,389.39
  5. Step 5: Solve for x
    x = 200,106,477,389.39/294,576.75
  6. Step 6: Final answer
    x = 679,301.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.