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Finding the Third Proportional to 441,698 and 588,483

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Solution

The third proportional to 441,698 and 588,483 is: 784,047.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,698 : 588,483 = 588,483 : x
  2. Step 2: Convert to fraction form
    441,698/588,483 = 588,483/x
  3. Step 3: Cross multiply
    441,698x = 588,483 × 588,483
  4. Step 4: Simplify right side
    441,698x = 346,312,241,289
  5. Step 5: Solve for x
    x = 346,312,241,289/441,698
  6. Step 6: Final answer
    x = 784,047.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.