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Finding the Third Proportional to 287,025.75 and 625,704.75

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Solution

The third proportional to 287,025.75 and 625,704.75 is: 1,364,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,025.75 : 625,704.75 = 625,704.75 : x
  2. Step 2: Convert to fraction form
    287,025.75/625,704.75 = 625,704.75/x
  3. Step 3: Cross multiply
    287,025.75x = 625,704.75 × 625,704.75
  4. Step 4: Simplify right side
    287,025.75x = 391,506,434,172.56
  5. Step 5: Solve for x
    x = 391,506,434,172.56/287,025.75
  6. Step 6: Final answer
    x = 1,364,011.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.