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Finding the Third Proportional to 423.04 and 630.07

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Solution

The third proportional to 423.04 and 630.07 is: 938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.04 : 630.07 = 630.07 : x
  2. Step 2: Convert to fraction form
    423.04/630.07 = 630.07/x
  3. Step 3: Cross multiply
    423.04x = 630.07 × 630.07
  4. Step 4: Simplify right side
    423.04x = 396,988.60
  5. Step 5: Solve for x
    x = 396,988.60/423.04
  6. Step 6: Final answer
    x = 938.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.