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Finding the Third Proportional to 201,953.50 and 424,799

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Solution

The third proportional to 201,953.50 and 424,799 is: 893,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,953.50 : 424,799 = 424,799 : x
  2. Step 2: Convert to fraction form
    201,953.50/424,799 = 424,799/x
  3. Step 3: Cross multiply
    201,953.50x = 424,799 × 424,799
  4. Step 4: Simplify right side
    201,953.50x = 180,454,190,401
  5. Step 5: Solve for x
    x = 180,454,190,401/201,953.50
  6. Step 6: Final answer
    x = 893,543.27

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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.