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Finding the Third Proportional to 425.04 and 624.27

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Solution

The third proportional to 425.04 and 624.27 is: 916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.04 : 624.27 = 624.27 : x
  2. Step 2: Convert to fraction form
    425.04/624.27 = 624.27/x
  3. Step 3: Cross multiply
    425.04x = 624.27 × 624.27
  4. Step 4: Simplify right side
    425.04x = 389,712.45
  5. Step 5: Solve for x
    x = 389,712.45/425.04
  6. Step 6: Final answer
    x = 916.89

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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.