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Finding the Third Proportional to 441,567 and 700,348.50

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Solution

The third proportional to 441,567 and 700,348.50 is: 1,110,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,567 : 700,348.50 = 700,348.50 : x
  2. Step 2: Convert to fraction form
    441,567/700,348.50 = 700,348.50/x
  3. Step 3: Cross multiply
    441,567x = 700,348.50 × 700,348.50
  4. Step 4: Simplify right side
    441,567x = 490,488,021,452.25
  5. Step 5: Solve for x
    x = 490,488,021,452.25/441,567
  6. Step 6: Final answer
    x = 1,110,789.58

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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.