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Finding the Third Proportional to 441,674 and 700,503

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Solution

The third proportional to 441,674 and 700,503 is: 1,111,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,674 : 700,503 = 700,503 : x
  2. Step 2: Convert to fraction form
    441,674/700,503 = 700,503/x
  3. Step 3: Cross multiply
    441,674x = 700,503 × 700,503
  4. Step 4: Simplify right side
    441,674x = 490,704,453,009
  5. Step 5: Solve for x
    x = 490,704,453,009/441,674
  6. Step 6: Final answer
    x = 1,111,010.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.