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Finding the Third Proportional to 211,364 and 468,301

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Solution

The third proportional to 211,364 and 468,301 is: 1,037,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,364 : 468,301 = 468,301 : x
  2. Step 2: Convert to fraction form
    211,364/468,301 = 468,301/x
  3. Step 3: Cross multiply
    211,364x = 468,301 × 468,301
  4. Step 4: Simplify right side
    211,364x = 219,305,826,601
  5. Step 5: Solve for x
    x = 219,305,826,601/211,364
  6. Step 6: Final answer
    x = 1,037,574.17

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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.