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Finding the Third Proportional to 211,228.31 and 439,929

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Solution

The third proportional to 211,228.31 and 439,929 is: 916,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,228.31 : 439,929 = 439,929 : x
  2. Step 2: Convert to fraction form
    211,228.31/439,929 = 439,929/x
  3. Step 3: Cross multiply
    211,228.31x = 439,929 × 439,929
  4. Step 4: Simplify right side
    211,228.31x = 193,537,525,041
  5. Step 5: Solve for x
    x = 193,537,525,041/211,228.31
  6. Step 6: Final answer
    x = 916,248.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.