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Finding the Third Proportional to 302,868 and 466,939.50

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Solution

The third proportional to 302,868 and 466,939.50 is: 719,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,868 : 466,939.50 = 466,939.50 : x
  2. Step 2: Convert to fraction form
    302,868/466,939.50 = 466,939.50/x
  3. Step 3: Cross multiply
    302,868x = 466,939.50 × 466,939.50
  4. Step 4: Simplify right side
    302,868x = 218,032,496,660.25
  5. Step 5: Solve for x
    x = 218,032,496,660.25/302,868
  6. Step 6: Final answer
    x = 719,892.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.