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Finding the Third Proportional to 201,916 and 424,745

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Solution

The third proportional to 201,916 and 424,745 is: 893,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,916 : 424,745 = 424,745 : x
  2. Step 2: Convert to fraction form
    201,916/424,745 = 424,745/x
  3. Step 3: Cross multiply
    201,916x = 424,745 × 424,745
  4. Step 4: Simplify right side
    201,916x = 180,408,315,025
  5. Step 5: Solve for x
    x = 180,408,315,025/201,916
  6. Step 6: Final answer
    x = 893,482.02

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Why These Related Problems?

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