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Finding the Third Proportional to 289,052 and 454,034

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Solution

The third proportional to 289,052 and 454,034 is: 713,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,052 : 454,034 = 454,034 : x
  2. Step 2: Convert to fraction form
    289,052/454,034 = 454,034/x
  3. Step 3: Cross multiply
    289,052x = 454,034 × 454,034
  4. Step 4: Simplify right side
    289,052x = 206,146,873,156
  5. Step 5: Solve for x
    x = 206,146,873,156/289,052
  6. Step 6: Final answer
    x = 713,182.66

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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.