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Finding the Third Proportional to 201,413 and 443,319

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Solution

The third proportional to 201,413 and 443,319 is: 975,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,413 : 443,319 = 443,319 : x
  2. Step 2: Convert to fraction form
    201,413/443,319 = 443,319/x
  3. Step 3: Cross multiply
    201,413x = 443,319 × 443,319
  4. Step 4: Simplify right side
    201,413x = 196,531,735,761
  5. Step 5: Solve for x
    x = 196,531,735,761/201,413
  6. Step 6: Final answer
    x = 975,764.90

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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.