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Finding the Third Proportional to 335,102 and 496,090

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Solution

The third proportional to 335,102 and 496,090 is: 734,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,102 : 496,090 = 496,090 : x
  2. Step 2: Convert to fraction form
    335,102/496,090 = 496,090/x
  3. Step 3: Cross multiply
    335,102x = 496,090 × 496,090
  4. Step 4: Simplify right side
    335,102x = 246,105,288,100
  5. Step 5: Solve for x
    x = 246,105,288,100/335,102
  6. Step 6: Final answer
    x = 734,419.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.