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Finding the Third Proportional to 201,984 and 439,437

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Solution

The third proportional to 201,984 and 439,437 is: 956,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,984 : 439,437 = 439,437 : x
  2. Step 2: Convert to fraction form
    201,984/439,437 = 439,437/x
  3. Step 3: Cross multiply
    201,984x = 439,437 × 439,437
  4. Step 4: Simplify right side
    201,984x = 193,104,876,969
  5. Step 5: Solve for x
    x = 193,104,876,969/201,984
  6. Step 6: Final answer
    x = 956,040.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.