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Finding the Third Proportional to 609,984 and 925,344

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Solution

The third proportional to 609,984 and 925,344 is: 1,403,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,984 : 925,344 = 925,344 : x
  2. Step 2: Convert to fraction form
    609,984/925,344 = 925,344/x
  3. Step 3: Cross multiply
    609,984x = 925,344 × 925,344
  4. Step 4: Simplify right side
    609,984x = 856,261,518,336
  5. Step 5: Solve for x
    x = 856,261,518,336/609,984
  6. Step 6: Final answer
    x = 1,403,744.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.