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Finding the Third Proportional to 560,816.16 and 847,906.73

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Solution

The third proportional to 560,816.16 and 847,906.73 is: 1,281,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,816.16 : 847,906.73 = 847,906.73 : x
  2. Step 2: Convert to fraction form
    560,816.16/847,906.73 = 847,906.73/x
  3. Step 3: Cross multiply
    560,816.16x = 847,906.73 × 847,906.73
  4. Step 4: Simplify right side
    560,816.16x = 718,945,830,198.48
  5. Step 5: Solve for x
    x = 718,945,830,198.48/560,816.16
  6. Step 6: Final answer
    x = 1,281,963.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.