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Finding the Third Proportional to 309,733.03 and 454,364.44

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Solution

The third proportional to 309,733.03 and 454,364.44 is: 666,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,733.03 : 454,364.44 = 454,364.44 : x
  2. Step 2: Convert to fraction form
    309,733.03/454,364.44 = 454,364.44/x
  3. Step 3: Cross multiply
    309,733.03x = 454,364.44 × 454,364.44
  4. Step 4: Simplify right side
    309,733.03x = 206,447,042,064.69
  5. Step 5: Solve for x
    x = 206,447,042,064.69/309,733.03
  6. Step 6: Final answer
    x = 666,532.21

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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.