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Finding the Third Proportional to 334,486.50 and 476,817.75

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Solution

The third proportional to 334,486.50 and 476,817.75 is: 679,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,486.50 : 476,817.75 = 476,817.75 : x
  2. Step 2: Convert to fraction form
    334,486.50/476,817.75 = 476,817.75/x
  3. Step 3: Cross multiply
    334,486.50x = 476,817.75 × 476,817.75
  4. Step 4: Simplify right side
    334,486.50x = 227,355,166,715.06
  5. Step 5: Solve for x
    x = 227,355,166,715.06/334,486.50
  6. Step 6: Final answer
    x = 679,714.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.