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Finding the Third Proportional to 354,744 and 770,724

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Solution

The third proportional to 354,744 and 770,724 is: 1,674,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,744 : 770,724 = 770,724 : x
  2. Step 2: Convert to fraction form
    354,744/770,724 = 770,724/x
  3. Step 3: Cross multiply
    354,744x = 770,724 × 770,724
  4. Step 4: Simplify right side
    354,744x = 594,015,484,176
  5. Step 5: Solve for x
    x = 594,015,484,176/354,744
  6. Step 6: Final answer
    x = 1,674,490.57

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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.