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Finding the Third Proportional to 266,607 and 408,820

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Solution

The third proportional to 266,607 and 408,820 is: 626,891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,607 : 408,820 = 408,820 : x
  2. Step 2: Convert to fraction form
    266,607/408,820 = 408,820/x
  3. Step 3: Cross multiply
    266,607x = 408,820 × 408,820
  4. Step 4: Simplify right side
    266,607x = 167,133,792,400
  5. Step 5: Solve for x
    x = 167,133,792,400/266,607
  6. Step 6: Final answer
    x = 626,891.99

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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.