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Finding the Third Proportional to 633,559.50 and 1,378,656

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Solution

The third proportional to 633,559.50 and 1,378,656 is: 3,000,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,559.50 : 1,378,656 = 1,378,656 : x
  2. Step 2: Convert to fraction form
    633,559.50/1,378,656 = 1,378,656/x
  3. Step 3: Cross multiply
    633,559.50x = 1,378,656 × 1,378,656
  4. Step 4: Simplify right side
    633,559.50x = 1,900,692,366,336
  5. Step 5: Solve for x
    x = 1,900,692,366,336/633,559.50
  6. Step 6: Final answer
    x = 3,000,021.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.