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Finding the Third Proportional to 213,225.75 and 459,658.13

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Solution

The third proportional to 213,225.75 and 459,658.13 is: 990,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,225.75 : 459,658.13 = 459,658.13 : x
  2. Step 2: Convert to fraction form
    213,225.75/459,658.13 = 459,658.13/x
  3. Step 3: Cross multiply
    213,225.75x = 459,658.13 × 459,658.13
  4. Step 4: Simplify right side
    213,225.75x = 211,285,591,878.52
  5. Step 5: Solve for x
    x = 211,285,591,878.52/213,225.75
  6. Step 6: Final answer
    x = 990,900.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.