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Finding the Third Proportional to 431,256 and 617,526

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Solution

The third proportional to 431,256 and 617,526 is: 884,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,256 : 617,526 = 617,526 : x
  2. Step 2: Convert to fraction form
    431,256/617,526 = 617,526/x
  3. Step 3: Cross multiply
    431,256x = 617,526 × 617,526
  4. Step 4: Simplify right side
    431,256x = 381,338,360,676
  5. Step 5: Solve for x
    x = 381,338,360,676/431,256
  6. Step 6: Final answer
    x = 884,250.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.