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Finding the Third Proportional to 310,980 and 440,404.50

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Solution

The third proportional to 310,980 and 440,404.50 is: 623,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,980 : 440,404.50 = 440,404.50 : x
  2. Step 2: Convert to fraction form
    310,980/440,404.50 = 440,404.50/x
  3. Step 3: Cross multiply
    310,980x = 440,404.50 × 440,404.50
  4. Step 4: Simplify right side
    310,980x = 193,956,123,620.25
  5. Step 5: Solve for x
    x = 193,956,123,620.25/310,980
  6. Step 6: Final answer
    x = 623,693.24

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.