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Finding the Third Proportional to 578,889 and 894,577

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Solution

The third proportional to 578,889 and 894,577 is: 1,382,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,889 : 894,577 = 894,577 : x
  2. Step 2: Convert to fraction form
    578,889/894,577 = 894,577/x
  3. Step 3: Cross multiply
    578,889x = 894,577 × 894,577
  4. Step 4: Simplify right side
    578,889x = 800,268,008,929
  5. Step 5: Solve for x
    x = 800,268,008,929/578,889
  6. Step 6: Final answer
    x = 1,382,420.48

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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.