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Finding the Third Proportional to 309,126.38 and 651,462.75

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Solution

The third proportional to 309,126.38 and 651,462.75 is: 1,372,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,126.38 : 651,462.75 = 651,462.75 : x
  2. Step 2: Convert to fraction form
    309,126.38/651,462.75 = 651,462.75/x
  3. Step 3: Cross multiply
    309,126.38x = 651,462.75 × 651,462.75
  4. Step 4: Simplify right side
    309,126.38x = 424,403,714,637.56
  5. Step 5: Solve for x
    x = 424,403,714,637.56/309,126.38
  6. Step 6: Final answer
    x = 1,372,913.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.