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Finding the Third Proportional to 933,700.50 and 1,482,198.75

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Solution

The third proportional to 933,700.50 and 1,482,198.75 is: 2,352,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,700.50 : 1,482,198.75 = 1,482,198.75 : x
  2. Step 2: Convert to fraction form
    933,700.50/1,482,198.75 = 1,482,198.75/x
  3. Step 3: Cross multiply
    933,700.50x = 1,482,198.75 × 1,482,198.75
  4. Step 4: Simplify right side
    933,700.50x = 2,196,913,134,501.56
  5. Step 5: Solve for x
    x = 2,196,913,134,501.56/933,700.50
  6. Step 6: Final answer
    x = 2,352,909.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.