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Finding the Third Proportional to 210,527 and 451,078

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Solution

The third proportional to 210,527 and 451,078 is: 966,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,527 : 451,078 = 451,078 : x
  2. Step 2: Convert to fraction form
    210,527/451,078 = 451,078/x
  3. Step 3: Cross multiply
    210,527x = 451,078 × 451,078
  4. Step 4: Simplify right side
    210,527x = 203,471,362,084
  5. Step 5: Solve for x
    x = 203,471,362,084/210,527
  6. Step 6: Final answer
    x = 966,485.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.