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Finding the Third Proportional to 317,181 and 683,875.50

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Solution

The third proportional to 317,181 and 683,875.50 is: 1,474,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,181 : 683,875.50 = 683,875.50 : x
  2. Step 2: Convert to fraction form
    317,181/683,875.50 = 683,875.50/x
  3. Step 3: Cross multiply
    317,181x = 683,875.50 × 683,875.50
  4. Step 4: Simplify right side
    317,181x = 467,685,699,500.25
  5. Step 5: Solve for x
    x = 467,685,699,500.25/317,181
  6. Step 6: Final answer
    x = 1,474,507.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.