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Finding the Third Proportional to 441,895.50 and 662,661

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Solution

The third proportional to 441,895.50 and 662,661 is: 993,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,895.50 : 662,661 = 662,661 : x
  2. Step 2: Convert to fraction form
    441,895.50/662,661 = 662,661/x
  3. Step 3: Cross multiply
    441,895.50x = 662,661 × 662,661
  4. Step 4: Simplify right side
    441,895.50x = 439,119,600,921
  5. Step 5: Solve for x
    x = 439,119,600,921/441,895.50
  6. Step 6: Final answer
    x = 993,718.20

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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.