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Finding the Third Proportional to 343,374.50 and 505,134.50

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Solution

The third proportional to 343,374.50 and 505,134.50 is: 743,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,374.50 : 505,134.50 = 505,134.50 : x
  2. Step 2: Convert to fraction form
    343,374.50/505,134.50 = 505,134.50/x
  3. Step 3: Cross multiply
    343,374.50x = 505,134.50 × 505,134.50
  4. Step 4: Simplify right side
    343,374.50x = 255,160,863,090.25
  5. Step 5: Solve for x
    x = 255,160,863,090.25/343,374.50
  6. Step 6: Final answer
    x = 743,097.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.