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Finding the Third Proportional to 315,612 and 476,694

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Solution

The third proportional to 315,612 and 476,694 is: 719,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,612 : 476,694 = 476,694 : x
  2. Step 2: Convert to fraction form
    315,612/476,694 = 476,694/x
  3. Step 3: Cross multiply
    315,612x = 476,694 × 476,694
  4. Step 4: Simplify right side
    315,612x = 227,237,169,636
  5. Step 5: Solve for x
    x = 227,237,169,636/315,612
  6. Step 6: Final answer
    x = 719,989.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.