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Finding the Third Proportional to 273,511.69 and 414,041.63

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Solution

The third proportional to 273,511.69 and 414,041.63 is: 626,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,511.69 : 414,041.63 = 414,041.63 : x
  2. Step 2: Convert to fraction form
    273,511.69/414,041.63 = 414,041.63/x
  3. Step 3: Cross multiply
    273,511.69x = 414,041.63 × 414,041.63
  4. Step 4: Simplify right side
    273,511.69x = 171,430,467,232.64
  5. Step 5: Solve for x
    x = 171,430,467,232.64/273,511.69
  6. Step 6: Final answer
    x = 626,775.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.