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Finding the Third Proportional to 435,766.50 and 653,433.75

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Solution

The third proportional to 435,766.50 and 653,433.75 is: 979,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,766.50 : 653,433.75 = 653,433.75 : x
  2. Step 2: Convert to fraction form
    435,766.50/653,433.75 = 653,433.75/x
  3. Step 3: Cross multiply
    435,766.50x = 653,433.75 × 653,433.75
  4. Step 4: Simplify right side
    435,766.50x = 426,975,665,639.06
  5. Step 5: Solve for x
    x = 426,975,665,639.06/435,766.50
  6. Step 6: Final answer
    x = 979,826.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.