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Finding the Third Proportional to 218,001 and 487,023

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Solution

The third proportional to 218,001 and 487,023 is: 1,088,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,001 : 487,023 = 487,023 : x
  2. Step 2: Convert to fraction form
    218,001/487,023 = 487,023/x
  3. Step 3: Cross multiply
    218,001x = 487,023 × 487,023
  4. Step 4: Simplify right side
    218,001x = 237,191,402,529
  5. Step 5: Solve for x
    x = 237,191,402,529/218,001
  6. Step 6: Final answer
    x = 1,088,028.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.