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Finding the Third Proportional to 254,704 and 553,632

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Solution

The third proportional to 254,704 and 553,632 is: 1,203,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,704 : 553,632 = 553,632 : x
  2. Step 2: Convert to fraction form
    254,704/553,632 = 553,632/x
  3. Step 3: Cross multiply
    254,704x = 553,632 × 553,632
  4. Step 4: Simplify right side
    254,704x = 306,508,391,424
  5. Step 5: Solve for x
    x = 306,508,391,424/254,704
  6. Step 6: Final answer
    x = 1,203,390.57

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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.