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Finding the Third Proportional to 301,153.50 and 443,403

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Solution

The third proportional to 301,153.50 and 443,403 is: 652,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,153.50 : 443,403 = 443,403 : x
  2. Step 2: Convert to fraction form
    301,153.50/443,403 = 443,403/x
  3. Step 3: Cross multiply
    301,153.50x = 443,403 × 443,403
  4. Step 4: Simplify right side
    301,153.50x = 196,606,220,409
  5. Step 5: Solve for x
    x = 196,606,220,409/301,153.50
  6. Step 6: Final answer
    x = 652,843.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.