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Finding the Third Proportional to 328,166 and 514,092

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Solution

The third proportional to 328,166 and 514,092 is: 805,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,166 : 514,092 = 514,092 : x
  2. Step 2: Convert to fraction form
    328,166/514,092 = 514,092/x
  3. Step 3: Cross multiply
    328,166x = 514,092 × 514,092
  4. Step 4: Simplify right side
    328,166x = 264,290,584,464
  5. Step 5: Solve for x
    x = 264,290,584,464/328,166
  6. Step 6: Final answer
    x = 805,356.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.