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Finding the Third Proportional to 454,616 and 713,156

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Solution

The third proportional to 454,616 and 713,156 is: 1,118,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,616 : 713,156 = 713,156 : x
  2. Step 2: Convert to fraction form
    454,616/713,156 = 713,156/x
  3. Step 3: Cross multiply
    454,616x = 713,156 × 713,156
  4. Step 4: Simplify right side
    454,616x = 508,591,480,336
  5. Step 5: Solve for x
    x = 508,591,480,336/454,616
  6. Step 6: Final answer
    x = 1,118,727.63

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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.