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Finding the Third Proportional to 224,128 and 485,592

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Solution

The third proportional to 224,128 and 485,592 is: 1,052,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,128 : 485,592 = 485,592 : x
  2. Step 2: Convert to fraction form
    224,128/485,592 = 485,592/x
  3. Step 3: Cross multiply
    224,128x = 485,592 × 485,592
  4. Step 4: Simplify right side
    224,128x = 235,799,590,464
  5. Step 5: Solve for x
    x = 235,799,590,464/224,128
  6. Step 6: Final answer
    x = 1,052,075.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.