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Finding the Third Proportional to 266,848 and 637,838

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Solution

The third proportional to 266,848 and 637,838 is: 1,524,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,848 : 637,838 = 637,838 : x
  2. Step 2: Convert to fraction form
    266,848/637,838 = 637,838/x
  3. Step 3: Cross multiply
    266,848x = 637,838 × 637,838
  4. Step 4: Simplify right side
    266,848x = 406,837,314,244
  5. Step 5: Solve for x
    x = 406,837,314,244/266,848
  6. Step 6: Final answer
    x = 1,524,603.20

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.