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Finding the Third Proportional to 410,768 and 888,928

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Solution

The third proportional to 410,768 and 888,928 is: 1,923,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,768 : 888,928 = 888,928 : x
  2. Step 2: Convert to fraction form
    410,768/888,928 = 888,928/x
  3. Step 3: Cross multiply
    410,768x = 888,928 × 888,928
  4. Step 4: Simplify right side
    410,768x = 790,192,989,184
  5. Step 5: Solve for x
    x = 790,192,989,184/410,768
  6. Step 6: Final answer
    x = 1,923,696.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.