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Finding the Third Proportional to 354,586 and 759,001

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Solution

The third proportional to 354,586 and 759,001 is: 1,624,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,586 : 759,001 = 759,001 : x
  2. Step 2: Convert to fraction form
    354,586/759,001 = 759,001/x
  3. Step 3: Cross multiply
    354,586x = 759,001 × 759,001
  4. Step 4: Simplify right side
    354,586x = 576,082,518,001
  5. Step 5: Solve for x
    x = 576,082,518,001/354,586
  6. Step 6: Final answer
    x = 1,624,662.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.