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Finding the Third Proportional to 273,213 and 407,014.88

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Solution

The third proportional to 273,213 and 407,014.88 is: 606,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,213 : 407,014.88 = 407,014.88 : x
  2. Step 2: Convert to fraction form
    273,213/407,014.88 = 407,014.88/x
  3. Step 3: Cross multiply
    273,213x = 407,014.88 × 407,014.88
  4. Step 4: Simplify right side
    273,213x = 165,661,108,471.27
  5. Step 5: Solve for x
    x = 165,661,108,471.27/273,213
  6. Step 6: Final answer
    x = 606,344.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.