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Finding the Third Proportional to 592,942.78 and 1,303,963.31

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Solution

The third proportional to 592,942.78 and 1,303,963.31 is: 2,867,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,942.78 : 1,303,963.31 = 1,303,963.31 : x
  2. Step 2: Convert to fraction form
    592,942.78/1,303,963.31 = 1,303,963.31/x
  3. Step 3: Cross multiply
    592,942.78x = 1,303,963.31 × 1,303,963.31
  4. Step 4: Simplify right side
    592,942.78x = 1,700,320,320,345.97
  5. Step 5: Solve for x
    x = 1,700,320,320,345.97/592,942.78
  6. Step 6: Final answer
    x = 2,867,595.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.