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Finding the Third Proportional to 284,314 and 603,620

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Solution

The third proportional to 284,314 and 603,620 is: 1,281,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,314 : 603,620 = 603,620 : x
  2. Step 2: Convert to fraction form
    284,314/603,620 = 603,620/x
  3. Step 3: Cross multiply
    284,314x = 603,620 × 603,620
  4. Step 4: Simplify right side
    284,314x = 364,357,104,400
  5. Step 5: Solve for x
    x = 364,357,104,400/284,314
  6. Step 6: Final answer
    x = 1,281,530.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.