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Finding the Third Proportional to 511,082.16 and 787,946.48

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Solution

The third proportional to 511,082.16 and 787,946.48 is: 1,214,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,082.16 : 787,946.48 = 787,946.48 : x
  2. Step 2: Convert to fraction form
    511,082.16/787,946.48 = 787,946.48/x
  3. Step 3: Cross multiply
    511,082.16x = 787,946.48 × 787,946.48
  4. Step 4: Simplify right side
    511,082.16x = 620,859,662,238.92
  5. Step 5: Solve for x
    x = 620,859,662,238.92/511,082.16
  6. Step 6: Final answer
    x = 1,214,794.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.