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Finding the Third Proportional to 263,271.94 and 565,929.28

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Solution

The third proportional to 263,271.94 and 565,929.28 is: 1,216,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,271.94 : 565,929.28 = 565,929.28 : x
  2. Step 2: Convert to fraction form
    263,271.94/565,929.28 = 565,929.28/x
  3. Step 3: Cross multiply
    263,271.94x = 565,929.28 × 565,929.28
  4. Step 4: Simplify right side
    263,271.94x = 320,275,951,376.14
  5. Step 5: Solve for x
    x = 320,275,951,376.14/263,271.94
  6. Step 6: Final answer
    x = 1,216,521.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.