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Finding the Third Proportional to 576,320 and 925,992

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Solution

The third proportional to 576,320 and 925,992 is: 1,487,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,320 : 925,992 = 925,992 : x
  2. Step 2: Convert to fraction form
    576,320/925,992 = 925,992/x
  3. Step 3: Cross multiply
    576,320x = 925,992 × 925,992
  4. Step 4: Simplify right side
    576,320x = 857,461,184,064
  5. Step 5: Solve for x
    x = 857,461,184,064/576,320
  6. Step 6: Final answer
    x = 1,487,821.32

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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.