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Finding the Third Proportional to 391,176.84 and 624,639.09

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Solution

The third proportional to 391,176.84 and 624,639.09 is: 997,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,176.84 : 624,639.09 = 624,639.09 : x
  2. Step 2: Convert to fraction form
    391,176.84/624,639.09 = 624,639.09/x
  3. Step 3: Cross multiply
    391,176.84x = 624,639.09 × 624,639.09
  4. Step 4: Simplify right side
    391,176.84x = 390,173,997,440.82
  5. Step 5: Solve for x
    x = 390,173,997,440.82/391,176.84
  6. Step 6: Final answer
    x = 997,436.34

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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.