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Finding the Third Proportional to 266,925.38 and 408,315.94

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Solution

The third proportional to 266,925.38 and 408,315.94 is: 624,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,925.38 : 408,315.94 = 408,315.94 : x
  2. Step 2: Convert to fraction form
    266,925.38/408,315.94 = 408,315.94/x
  3. Step 3: Cross multiply
    266,925.38x = 408,315.94 × 408,315.94
  4. Step 4: Simplify right side
    266,925.38x = 166,721,904,816.50
  5. Step 5: Solve for x
    x = 166,721,904,816.50/266,925.38
  6. Step 6: Final answer
    x = 624,601.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.