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Finding the Third Proportional to 201,411 and 443,315

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Solution

The third proportional to 201,411 and 443,315 is: 975,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,411 : 443,315 = 443,315 : x
  2. Step 2: Convert to fraction form
    201,411/443,315 = 443,315/x
  3. Step 3: Cross multiply
    201,411x = 443,315 × 443,315
  4. Step 4: Simplify right side
    201,411x = 196,528,189,225
  5. Step 5: Solve for x
    x = 196,528,189,225/201,411
  6. Step 6: Final answer
    x = 975,756.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.