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Finding the Third Proportional to 335,091 and 440,428.50

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Solution

The third proportional to 335,091 and 440,428.50 is: 578,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,091 : 440,428.50 = 440,428.50 : x
  2. Step 2: Convert to fraction form
    335,091/440,428.50 = 440,428.50/x
  3. Step 3: Cross multiply
    335,091x = 440,428.50 × 440,428.50
  4. Step 4: Simplify right side
    335,091x = 193,977,263,612.25
  5. Step 5: Solve for x
    x = 193,977,263,612.25/335,091
  6. Step 6: Final answer
    x = 578,879.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.