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Finding the Third Proportional to 294,455.25 and 443,900.25

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Solution

The third proportional to 294,455.25 and 443,900.25 is: 669,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,455.25 : 443,900.25 = 443,900.25 : x
  2. Step 2: Convert to fraction form
    294,455.25/443,900.25 = 443,900.25/x
  3. Step 3: Cross multiply
    294,455.25x = 443,900.25 × 443,900.25
  4. Step 4: Simplify right side
    294,455.25x = 197,047,431,950.06
  5. Step 5: Solve for x
    x = 197,047,431,950.06/294,455.25
  6. Step 6: Final answer
    x = 669,193.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.