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Finding the Third Proportional to 312,171.75 and 683,154

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Solution

The third proportional to 312,171.75 and 683,154 is: 1,495,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,171.75 : 683,154 = 683,154 : x
  2. Step 2: Convert to fraction form
    312,171.75/683,154 = 683,154/x
  3. Step 3: Cross multiply
    312,171.75x = 683,154 × 683,154
  4. Step 4: Simplify right side
    312,171.75x = 466,699,387,716
  5. Step 5: Solve for x
    x = 466,699,387,716/312,171.75
  6. Step 6: Final answer
    x = 1,495,008.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.