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Finding the Third Proportional to 340,723.13 and 529,092

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Solution

The third proportional to 340,723.13 and 529,092 is: 821,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,723.13 : 529,092 = 529,092 : x
  2. Step 2: Convert to fraction form
    340,723.13/529,092 = 529,092/x
  3. Step 3: Cross multiply
    340,723.13x = 529,092 × 529,092
  4. Step 4: Simplify right side
    340,723.13x = 279,938,344,464
  5. Step 5: Solve for x
    x = 279,938,344,464/340,723.13
  6. Step 6: Final answer
    x = 821,600.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.