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Finding the Third Proportional to 416,827.50 and 645,834.75

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Solution

The third proportional to 416,827.50 and 645,834.75 is: 1,000,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,827.50 : 645,834.75 = 645,834.75 : x
  2. Step 2: Convert to fraction form
    416,827.50/645,834.75 = 645,834.75/x
  3. Step 3: Cross multiply
    416,827.50x = 645,834.75 × 645,834.75
  4. Step 4: Simplify right side
    416,827.50x = 417,102,524,307.56
  5. Step 5: Solve for x
    x = 417,102,524,307.56/416,827.50
  6. Step 6: Final answer
    x = 1,000,659.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.