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Finding the Third Proportional to 560,544 and 805,824

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Solution

The third proportional to 560,544 and 805,824 is: 1,158,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,544 : 805,824 = 805,824 : x
  2. Step 2: Convert to fraction form
    560,544/805,824 = 805,824/x
  3. Step 3: Cross multiply
    560,544x = 805,824 × 805,824
  4. Step 4: Simplify right side
    560,544x = 649,352,318,976
  5. Step 5: Solve for x
    x = 649,352,318,976/560,544
  6. Step 6: Final answer
    x = 1,158,432.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.