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Finding the Third Proportional to 266,070 and 399,092

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Solution

The third proportional to 266,070 and 399,092 is: 598,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,070 : 399,092 = 399,092 : x
  2. Step 2: Convert to fraction form
    266,070/399,092 = 399,092/x
  3. Step 3: Cross multiply
    266,070x = 399,092 × 399,092
  4. Step 4: Simplify right side
    266,070x = 159,274,424,464
  5. Step 5: Solve for x
    x = 159,274,424,464/266,070
  6. Step 6: Final answer
    x = 598,618.50

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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.