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Finding the Third Proportional to 303,549 and 445,482

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Solution

The third proportional to 303,549 and 445,482 is: 653,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,549 : 445,482 = 445,482 : x
  2. Step 2: Convert to fraction form
    303,549/445,482 = 445,482/x
  3. Step 3: Cross multiply
    303,549x = 445,482 × 445,482
  4. Step 4: Simplify right side
    303,549x = 198,454,212,324
  5. Step 5: Solve for x
    x = 198,454,212,324/303,549
  6. Step 6: Final answer
    x = 653,779.83

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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.