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Finding the Third Proportional to 727,311.50 and 1,543,277.50

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Solution

The third proportional to 727,311.50 and 1,543,277.50 is: 3,274,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,311.50 : 1,543,277.50 = 1,543,277.50 : x
  2. Step 2: Convert to fraction form
    727,311.50/1,543,277.50 = 1,543,277.50/x
  3. Step 3: Cross multiply
    727,311.50x = 1,543,277.50 × 1,543,277.50
  4. Step 4: Simplify right side
    727,311.50x = 2,381,705,442,006.25
  5. Step 5: Solve for x
    x = 2,381,705,442,006.25/727,311.50
  6. Step 6: Final answer
    x = 3,274,670.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.