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Finding the Third Proportional to 213,502 and 459,992

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Solution

The third proportional to 213,502 and 459,992 is: 991,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,502 : 459,992 = 459,992 : x
  2. Step 2: Convert to fraction form
    213,502/459,992 = 459,992/x
  3. Step 3: Cross multiply
    213,502x = 459,992 × 459,992
  4. Step 4: Simplify right side
    213,502x = 211,592,640,064
  5. Step 5: Solve for x
    x = 211,592,640,064/213,502
  6. Step 6: Final answer
    x = 991,056.95

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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.