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Finding the Third Proportional to 313,130 and 697,974

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Solution

The third proportional to 313,130 and 697,974 is: 1,555,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,130 : 697,974 = 697,974 : x
  2. Step 2: Convert to fraction form
    313,130/697,974 = 697,974/x
  3. Step 3: Cross multiply
    313,130x = 697,974 × 697,974
  4. Step 4: Simplify right side
    313,130x = 487,167,704,676
  5. Step 5: Solve for x
    x = 487,167,704,676/313,130
  6. Step 6: Final answer
    x = 1,555,800.16

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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.