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Finding the Third Proportional to 201,879 and 424,683

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Solution

The third proportional to 201,879 and 424,683 is: 893,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,879 : 424,683 = 424,683 : x
  2. Step 2: Convert to fraction form
    201,879/424,683 = 424,683/x
  3. Step 3: Cross multiply
    201,879x = 424,683 × 424,683
  4. Step 4: Simplify right side
    201,879x = 180,355,650,489
  5. Step 5: Solve for x
    x = 180,355,650,489/201,879
  6. Step 6: Final answer
    x = 893,384.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.