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Finding the Third Proportional to 236,001 and 511,354

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Solution

The third proportional to 236,001 and 511,354 is: 1,107,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,001 : 511,354 = 511,354 : x
  2. Step 2: Convert to fraction form
    236,001/511,354 = 511,354/x
  3. Step 3: Cross multiply
    236,001x = 511,354 × 511,354
  4. Step 4: Simplify right side
    236,001x = 261,482,913,316
  5. Step 5: Solve for x
    x = 261,482,913,316/236,001
  6. Step 6: Final answer
    x = 1,107,973.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.