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Finding the Third Proportional to 266,046 and 399,057

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Solution

The third proportional to 266,046 and 399,057 is: 598,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,046 : 399,057 = 399,057 : x
  2. Step 2: Convert to fraction form
    266,046/399,057 = 399,057/x
  3. Step 3: Cross multiply
    266,046x = 399,057 × 399,057
  4. Step 4: Simplify right side
    266,046x = 159,246,489,249
  5. Step 5: Solve for x
    x = 159,246,489,249/266,046
  6. Step 6: Final answer
    x = 598,567.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.