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Finding the Third Proportional to 427,924.69 and 662,261.06

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Solution

The third proportional to 427,924.69 and 662,261.06 is: 1,024,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,924.69 : 662,261.06 = 662,261.06 : x
  2. Step 2: Convert to fraction form
    427,924.69/662,261.06 = 662,261.06/x
  3. Step 3: Cross multiply
    427,924.69x = 662,261.06 × 662,261.06
  4. Step 4: Simplify right side
    427,924.69x = 438,589,714,903.63
  5. Step 5: Solve for x
    x = 438,589,714,903.63/427,924.69
  6. Step 6: Final answer
    x = 1,024,922.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.