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Finding the Third Proportional to 221,658 and 459,084

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Solution

The third proportional to 221,658 and 459,084 is: 950,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,658 : 459,084 = 459,084 : x
  2. Step 2: Convert to fraction form
    221,658/459,084 = 459,084/x
  3. Step 3: Cross multiply
    221,658x = 459,084 × 459,084
  4. Step 4: Simplify right side
    221,658x = 210,758,119,056
  5. Step 5: Solve for x
    x = 210,758,119,056/221,658
  6. Step 6: Final answer
    x = 950,825.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.