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Finding the Third Proportional to 309,110.50 and 651,431

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Solution

The third proportional to 309,110.50 and 651,431 is: 1,372,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,110.50 : 651,431 = 651,431 : x
  2. Step 2: Convert to fraction form
    309,110.50/651,431 = 651,431/x
  3. Step 3: Cross multiply
    309,110.50x = 651,431 × 651,431
  4. Step 4: Simplify right side
    309,110.50x = 424,362,347,761
  5. Step 5: Solve for x
    x = 424,362,347,761/309,110.50
  6. Step 6: Final answer
    x = 1,372,849.99

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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.