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Finding the Third Proportional to 576,344 and 926,025

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Solution

The third proportional to 576,344 and 926,025 is: 1,487,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,344 : 926,025 = 926,025 : x
  2. Step 2: Convert to fraction form
    576,344/926,025 = 926,025/x
  3. Step 3: Cross multiply
    576,344x = 926,025 × 926,025
  4. Step 4: Simplify right side
    576,344x = 857,522,300,625
  5. Step 5: Solve for x
    x = 857,522,300,625/576,344
  6. Step 6: Final answer
    x = 1,487,865.41

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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.