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Finding the Third Proportional to 537,344.75 and 862,847.88

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Solution

The third proportional to 537,344.75 and 862,847.88 is: 1,385,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,344.75 : 862,847.88 = 862,847.88 : x
  2. Step 2: Convert to fraction form
    537,344.75/862,847.88 = 862,847.88/x
  3. Step 3: Cross multiply
    537,344.75x = 862,847.88 × 862,847.88
  4. Step 4: Simplify right side
    537,344.75x = 744,506,455,392.02
  5. Step 5: Solve for x
    x = 744,506,455,392.02/537,344.75
  6. Step 6: Final answer
    x = 1,385,528.48

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.