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Finding the Third Proportional to 211,341 and 468,261

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Solution

The third proportional to 211,341 and 468,261 is: 1,037,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,341 : 468,261 = 468,261 : x
  2. Step 2: Convert to fraction form
    211,341/468,261 = 468,261/x
  3. Step 3: Cross multiply
    211,341x = 468,261 × 468,261
  4. Step 4: Simplify right side
    211,341x = 219,268,364,121
  5. Step 5: Solve for x
    x = 219,268,364,121/211,341
  6. Step 6: Final answer
    x = 1,037,509.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.