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Finding the Third Proportional to 577,568 and 888,896

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Solution

The third proportional to 577,568 and 888,896 is: 1,368,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,568 : 888,896 = 888,896 : x
  2. Step 2: Convert to fraction form
    577,568/888,896 = 888,896/x
  3. Step 3: Cross multiply
    577,568x = 888,896 × 888,896
  4. Step 4: Simplify right side
    577,568x = 790,136,098,816
  5. Step 5: Solve for x
    x = 790,136,098,816/577,568
  6. Step 6: Final answer
    x = 1,368,039.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.