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Finding the Third Proportional to 306,114 and 662,092

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Solution

The third proportional to 306,114 and 662,092 is: 1,432,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,114 : 662,092 = 662,092 : x
  2. Step 2: Convert to fraction form
    306,114/662,092 = 662,092/x
  3. Step 3: Cross multiply
    306,114x = 662,092 × 662,092
  4. Step 4: Simplify right side
    306,114x = 438,365,816,464
  5. Step 5: Solve for x
    x = 438,365,816,464/306,114
  6. Step 6: Final answer
    x = 1,432,034.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.