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Finding the Third Proportional to 402,382 and 603,622

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Solution

The third proportional to 402,382 and 603,622 is: 905,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,382 : 603,622 = 603,622 : x
  2. Step 2: Convert to fraction form
    402,382/603,622 = 603,622/x
  3. Step 3: Cross multiply
    402,382x = 603,622 × 603,622
  4. Step 4: Simplify right side
    402,382x = 364,359,518,884
  5. Step 5: Solve for x
    x = 364,359,518,884/402,382
  6. Step 6: Final answer
    x = 905,506.51

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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.