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Finding the Third Proportional to 303,582.94 and 445,532.06

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Solution

The third proportional to 303,582.94 and 445,532.06 is: 653,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,582.94 : 445,532.06 = 445,532.06 : x
  2. Step 2: Convert to fraction form
    303,582.94/445,532.06 = 445,532.06/x
  3. Step 3: Cross multiply
    303,582.94x = 445,532.06 × 445,532.06
  4. Step 4: Simplify right side
    303,582.94x = 198,498,818,715.50
  5. Step 5: Solve for x
    x = 198,498,818,715.50/303,582.94
  6. Step 6: Final answer
    x = 653,853.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.