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Finding the Third Proportional to 211,362 and 468,297

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Solution

The third proportional to 211,362 and 468,297 is: 1,037,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,362 : 468,297 = 468,297 : x
  2. Step 2: Convert to fraction form
    211,362/468,297 = 468,297/x
  3. Step 3: Cross multiply
    211,362x = 468,297 × 468,297
  4. Step 4: Simplify right side
    211,362x = 219,302,080,209
  5. Step 5: Solve for x
    x = 219,302,080,209/211,362
  6. Step 6: Final answer
    x = 1,037,566.26

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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.