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Finding the Third Proportional to 219,268 and 468,488

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Solution

The third proportional to 219,268 and 468,488 is: 1,000,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,268 : 468,488 = 468,488 : x
  2. Step 2: Convert to fraction form
    219,268/468,488 = 468,488/x
  3. Step 3: Cross multiply
    219,268x = 468,488 × 468,488
  4. Step 4: Simplify right side
    219,268x = 219,481,006,144
  5. Step 5: Solve for x
    x = 219,481,006,144/219,268
  6. Step 6: Final answer
    x = 1,000,971.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.