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Finding the Third Proportional to 545,035.50 and 780,185.25

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Solution

The third proportional to 545,035.50 and 780,185.25 is: 1,116,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,035.50 : 780,185.25 = 780,185.25 : x
  2. Step 2: Convert to fraction form
    545,035.50/780,185.25 = 780,185.25/x
  3. Step 3: Cross multiply
    545,035.50x = 780,185.25 × 780,185.25
  4. Step 4: Simplify right side
    545,035.50x = 608,689,024,317.56
  5. Step 5: Solve for x
    x = 608,689,024,317.56/545,035.50
  6. Step 6: Final answer
    x = 1,116,787.85

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.