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Finding the Third Proportional to 282,717 and 424,683

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Solution

The third proportional to 282,717 and 424,683 is: 637,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,717 : 424,683 = 424,683 : x
  2. Step 2: Convert to fraction form
    282,717/424,683 = 424,683/x
  3. Step 3: Cross multiply
    282,717x = 424,683 × 424,683
  4. Step 4: Simplify right side
    282,717x = 180,355,650,489
  5. Step 5: Solve for x
    x = 180,355,650,489/282,717
  6. Step 6: Final answer
    x = 637,937.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.