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Finding the Third Proportional to 576,311.63 and 925,976.81

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Solution

The third proportional to 576,311.63 and 925,976.81 is: 1,487,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,311.63 : 925,976.81 = 925,976.81 : x
  2. Step 2: Convert to fraction form
    576,311.63/925,976.81 = 925,976.81/x
  3. Step 3: Cross multiply
    576,311.63x = 925,976.81 × 925,976.81
  4. Step 4: Simplify right side
    576,311.63x = 857,433,057,287.66
  5. Step 5: Solve for x
    x = 857,433,057,287.66/576,311.63
  6. Step 6: Final answer
    x = 1,487,794.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.