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Finding the Third Proportional to 284,613 and 609,570

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Solution

The third proportional to 284,613 and 609,570 is: 1,305,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,613 : 609,570 = 609,570 : x
  2. Step 2: Convert to fraction form
    284,613/609,570 = 609,570/x
  3. Step 3: Cross multiply
    284,613x = 609,570 × 609,570
  4. Step 4: Simplify right side
    284,613x = 371,575,584,900
  5. Step 5: Solve for x
    x = 371,575,584,900/284,613
  6. Step 6: Final answer
    x = 1,305,546.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.