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Finding the Third Proportional to 211,974 and 448,486

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Solution

The third proportional to 211,974 and 448,486 is: 948,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,974 : 448,486 = 448,486 : x
  2. Step 2: Convert to fraction form
    211,974/448,486 = 448,486/x
  3. Step 3: Cross multiply
    211,974x = 448,486 × 448,486
  4. Step 4: Simplify right side
    211,974x = 201,139,692,196
  5. Step 5: Solve for x
    x = 201,139,692,196/211,974
  6. Step 6: Final answer
    x = 948,888.51

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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.