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Finding the Third Proportional to 545,119.88 and 812,352.38

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Solution

The third proportional to 545,119.88 and 812,352.38 is: 1,210,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,119.88 : 812,352.38 = 812,352.38 : x
  2. Step 2: Convert to fraction form
    545,119.88/812,352.38 = 812,352.38/x
  3. Step 3: Cross multiply
    545,119.88x = 812,352.38 × 812,352.38
  4. Step 4: Simplify right side
    545,119.88x = 659,916,381,168.14
  5. Step 5: Solve for x
    x = 659,916,381,168.14/545,119.88
  6. Step 6: Final answer
    x = 1,210,589.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.