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Finding the Third Proportional to 560,494.69 and 1,228,729.50

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Solution

The third proportional to 560,494.69 and 1,228,729.50 is: 2,693,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,494.69 : 1,228,729.50 = 1,228,729.50 : x
  2. Step 2: Convert to fraction form
    560,494.69/1,228,729.50 = 1,228,729.50/x
  3. Step 3: Cross multiply
    560,494.69x = 1,228,729.50 × 1,228,729.50
  4. Step 4: Simplify right side
    560,494.69x = 1,509,776,184,170.25
  5. Step 5: Solve for x
    x = 1,509,776,184,170.25/560,494.69
  6. Step 6: Final answer
    x = 2,693,649.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.