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Finding the Third Proportional to 303,577 and 653,078

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Solution

The third proportional to 303,577 and 653,078 is: 1,404,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,577 : 653,078 = 653,078 : x
  2. Step 2: Convert to fraction form
    303,577/653,078 = 653,078/x
  3. Step 3: Cross multiply
    303,577x = 653,078 × 653,078
  4. Step 4: Simplify right side
    303,577x = 426,510,874,084
  5. Step 5: Solve for x
    x = 426,510,874,084/303,577
  6. Step 6: Final answer
    x = 1,404,951.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.