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Finding the Third Proportional to 211,984 and 448,508

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Solution

The third proportional to 211,984 and 448,508 is: 948,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,984 : 448,508 = 448,508 : x
  2. Step 2: Convert to fraction form
    211,984/448,508 = 448,508/x
  3. Step 3: Cross multiply
    211,984x = 448,508 × 448,508
  4. Step 4: Simplify right side
    211,984x = 201,159,426,064
  5. Step 5: Solve for x
    x = 201,159,426,064/211,984
  6. Step 6: Final answer
    x = 948,936.84

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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.