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Finding the Third Proportional to 539,896.50 and 838,140.75

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Solution

The third proportional to 539,896.50 and 838,140.75 is: 1,301,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,896.50 : 838,140.75 = 838,140.75 : x
  2. Step 2: Convert to fraction form
    539,896.50/838,140.75 = 838,140.75/x
  3. Step 3: Cross multiply
    539,896.50x = 838,140.75 × 838,140.75
  4. Step 4: Simplify right side
    539,896.50x = 702,479,916,810.56
  5. Step 5: Solve for x
    x = 702,479,916,810.56/539,896.50
  6. Step 6: Final answer
    x = 1,301,138.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.