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Finding the Third Proportional to 454,744 and 713,356

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Solution

The third proportional to 454,744 and 713,356 is: 1,119,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,744 : 713,356 = 713,356 : x
  2. Step 2: Convert to fraction form
    454,744/713,356 = 713,356/x
  3. Step 3: Cross multiply
    454,744x = 713,356 × 713,356
  4. Step 4: Simplify right side
    454,744x = 508,876,782,736
  5. Step 5: Solve for x
    x = 508,876,782,736/454,744
  6. Step 6: Final answer
    x = 1,119,040.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.