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Finding the Third Proportional to 312,175.50 and 683,160

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Solution

The third proportional to 312,175.50 and 683,160 is: 1,495,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,175.50 : 683,160 = 683,160 : x
  2. Step 2: Convert to fraction form
    312,175.50/683,160 = 683,160/x
  3. Step 3: Cross multiply
    312,175.50x = 683,160 × 683,160
  4. Step 4: Simplify right side
    312,175.50x = 466,707,585,600
  5. Step 5: Solve for x
    x = 466,707,585,600/312,175.50
  6. Step 6: Final answer
    x = 1,495,016.70

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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.