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Finding the Third Proportional to 421.29 and 673.00

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Solution

The third proportional to 421.29 and 673.00 is: 1,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.29 : 673.00 = 673.00 : x
  2. Step 2: Convert to fraction form
    421.29/673.00 = 673.00/x
  3. Step 3: Cross multiply
    421.29x = 673.00 × 673.00
  4. Step 4: Simplify right side
    421.29x = 452,923.74
  5. Step 5: Solve for x
    x = 452,923.74/421.29
  6. Step 6: Final answer
    x = 1,075.08

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.