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Finding the Third Proportional to 266,844 and 412,051.50

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Solution

The third proportional to 266,844 and 412,051.50 is: 636,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,844 : 412,051.50 = 412,051.50 : x
  2. Step 2: Convert to fraction form
    266,844/412,051.50 = 412,051.50/x
  3. Step 3: Cross multiply
    266,844x = 412,051.50 × 412,051.50
  4. Step 4: Simplify right side
    266,844x = 169,786,438,652.25
  5. Step 5: Solve for x
    x = 169,786,438,652.25/266,844
  6. Step 6: Final answer
    x = 636,276.02

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Why These Related Problems?

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