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Finding the Third Proportional to 578,885 and 894,572

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Solution

The third proportional to 578,885 and 894,572 is: 1,382,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,885 : 894,572 = 894,572 : x
  2. Step 2: Convert to fraction form
    578,885/894,572 = 894,572/x
  3. Step 3: Cross multiply
    578,885x = 894,572 × 894,572
  4. Step 4: Simplify right side
    578,885x = 800,259,063,184
  5. Step 5: Solve for x
    x = 800,259,063,184/578,885
  6. Step 6: Final answer
    x = 1,382,414.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.