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Finding the Third Proportional to 266,786 and 412,803

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Solution

The third proportional to 266,786 and 412,803 is: 638,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,786 : 412,803 = 412,803 : x
  2. Step 2: Convert to fraction form
    266,786/412,803 = 412,803/x
  3. Step 3: Cross multiply
    266,786x = 412,803 × 412,803
  4. Step 4: Simplify right side
    266,786x = 170,406,316,809
  5. Step 5: Solve for x
    x = 170,406,316,809/266,786
  6. Step 6: Final answer
    x = 638,737.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.