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Finding the Third Proportional to 576,310 and 925,975

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Solution

The third proportional to 576,310 and 925,975 is: 1,487,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,310 : 925,975 = 925,975 : x
  2. Step 2: Convert to fraction form
    576,310/925,975 = 925,975/x
  3. Step 3: Cross multiply
    576,310x = 925,975 × 925,975
  4. Step 4: Simplify right side
    576,310x = 857,429,700,625
  5. Step 5: Solve for x
    x = 857,429,700,625/576,310
  6. Step 6: Final answer
    x = 1,487,792.51

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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.