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Finding the Third Proportional to 284,394 and 603,780

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Solution

The third proportional to 284,394 and 603,780 is: 1,281,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,394 : 603,780 = 603,780 : x
  2. Step 2: Convert to fraction form
    284,394/603,780 = 603,780/x
  3. Step 3: Cross multiply
    284,394x = 603,780 × 603,780
  4. Step 4: Simplify right side
    284,394x = 364,550,288,400
  5. Step 5: Solve for x
    x = 364,550,288,400/284,394
  6. Step 6: Final answer
    x = 1,281,849.44

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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.