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Finding the Third Proportional to 424,828.50 and 683,715

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Solution

The third proportional to 424,828.50 and 683,715 is: 1,100,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,828.50 : 683,715 = 683,715 : x
  2. Step 2: Convert to fraction form
    424,828.50/683,715 = 683,715/x
  3. Step 3: Cross multiply
    424,828.50x = 683,715 × 683,715
  4. Step 4: Simplify right side
    424,828.50x = 467,466,201,225
  5. Step 5: Solve for x
    x = 467,466,201,225/424,828.50
  6. Step 6: Final answer
    x = 1,100,364.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.