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Finding the Third Proportional to 315,723 and 697,892

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Solution

The third proportional to 315,723 and 697,892 is: 1,542,660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,723 : 697,892 = 697,892 : x
  2. Step 2: Convert to fraction form
    315,723/697,892 = 697,892/x
  3. Step 3: Cross multiply
    315,723x = 697,892 × 697,892
  4. Step 4: Simplify right side
    315,723x = 487,053,243,664
  5. Step 5: Solve for x
    x = 487,053,243,664/315,723
  6. Step 6: Final answer
    x = 1,542,660.00

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.