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Finding the Third Proportional to 394,051 and 624,065

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Solution

The third proportional to 394,051 and 624,065 is: 988,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,051 : 624,065 = 624,065 : x
  2. Step 2: Convert to fraction form
    394,051/624,065 = 624,065/x
  3. Step 3: Cross multiply
    394,051x = 624,065 × 624,065
  4. Step 4: Simplify right side
    394,051x = 389,457,124,225
  5. Step 5: Solve for x
    x = 389,457,124,225/394,051
  6. Step 6: Final answer
    x = 988,341.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.