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Finding the Third Proportional to 211,970 and 448,479

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Solution

The third proportional to 211,970 and 448,479 is: 948,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,970 : 448,479 = 448,479 : x
  2. Step 2: Convert to fraction form
    211,970/448,479 = 448,479/x
  3. Step 3: Cross multiply
    211,970x = 448,479 × 448,479
  4. Step 4: Simplify right side
    211,970x = 201,133,413,441
  5. Step 5: Solve for x
    x = 201,133,413,441/211,970
  6. Step 6: Final answer
    x = 948,876.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.