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Finding the Third Proportional to 312,097.75 and 471,426.50

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Solution

The third proportional to 312,097.75 and 471,426.50 is: 712,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,097.75 : 471,426.50 = 471,426.50 : x
  2. Step 2: Convert to fraction form
    312,097.75/471,426.50 = 471,426.50/x
  3. Step 3: Cross multiply
    312,097.75x = 471,426.50 × 471,426.50
  4. Step 4: Simplify right side
    312,097.75x = 222,242,944,902.25
  5. Step 5: Solve for x
    x = 222,242,944,902.25/312,097.75
  6. Step 6: Final answer
    x = 712,094.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.