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Finding the Third Proportional to 313,116 and 697,947

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Solution

The third proportional to 313,116 and 697,947 is: 1,555,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,116 : 697,947 = 697,947 : x
  2. Step 2: Convert to fraction form
    313,116/697,947 = 697,947/x
  3. Step 3: Cross multiply
    313,116x = 697,947 × 697,947
  4. Step 4: Simplify right side
    313,116x = 487,130,014,809
  5. Step 5: Solve for x
    x = 487,130,014,809/313,116
  6. Step 6: Final answer
    x = 1,555,749.35

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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.