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Finding the Third Proportional to 289,828.13 and 445,743

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Solution

The third proportional to 289,828.13 and 445,743 is: 685,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,828.13 : 445,743 = 445,743 : x
  2. Step 2: Convert to fraction form
    289,828.13/445,743 = 445,743/x
  3. Step 3: Cross multiply
    289,828.13x = 445,743 × 445,743
  4. Step 4: Simplify right side
    289,828.13x = 198,686,822,049
  5. Step 5: Solve for x
    x = 198,686,822,049/289,828.13
  6. Step 6: Final answer
    x = 685,533.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.