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Finding the Third Proportional to 454,974 and 713,655

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Solution

The third proportional to 454,974 and 713,655 is: 1,119,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,974 : 713,655 = 713,655 : x
  2. Step 2: Convert to fraction form
    454,974/713,655 = 713,655/x
  3. Step 3: Cross multiply
    454,974x = 713,655 × 713,655
  4. Step 4: Simplify right side
    454,974x = 509,303,459,025
  5. Step 5: Solve for x
    x = 509,303,459,025/454,974
  6. Step 6: Final answer
    x = 1,119,412.23

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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.