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Finding the Third Proportional to 201,862 and 424,635

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Solution

The third proportional to 201,862 and 424,635 is: 893,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862 : 424,635 = 424,635 : x
  2. Step 2: Convert to fraction form
    201,862/424,635 = 424,635/x
  3. Step 3: Cross multiply
    201,862x = 424,635 × 424,635
  4. Step 4: Simplify right side
    201,862x = 180,314,883,225
  5. Step 5: Solve for x
    x = 180,314,883,225/201,862
  6. Step 6: Final answer
    x = 893,258.18

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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.