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Finding the Third Proportional to 289,054 and 454,037

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Solution

The third proportional to 289,054 and 454,037 is: 713,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,054 : 454,037 = 454,037 : x
  2. Step 2: Convert to fraction form
    289,054/454,037 = 454,037/x
  3. Step 3: Cross multiply
    289,054x = 454,037 × 454,037
  4. Step 4: Simplify right side
    289,054x = 206,149,597,369
  5. Step 5: Solve for x
    x = 206,149,597,369/289,054
  6. Step 6: Final answer
    x = 713,187.15

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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.