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Finding the Third Proportional to 361,236 and 572,469

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Solution

The third proportional to 361,236 and 572,469 is: 907,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,236 : 572,469 = 572,469 : x
  2. Step 2: Convert to fraction form
    361,236/572,469 = 572,469/x
  3. Step 3: Cross multiply
    361,236x = 572,469 × 572,469
  4. Step 4: Simplify right side
    361,236x = 327,720,755,961
  5. Step 5: Solve for x
    x = 327,720,755,961/361,236
  6. Step 6: Final answer
    x = 907,220.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.