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Finding the Third Proportional to 403,092.56 and 582,700.50

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Solution

The third proportional to 403,092.56 and 582,700.50 is: 842,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,092.56 : 582,700.50 = 582,700.50 : x
  2. Step 2: Convert to fraction form
    403,092.56/582,700.50 = 582,700.50/x
  3. Step 3: Cross multiply
    403,092.56x = 582,700.50 × 582,700.50
  4. Step 4: Simplify right side
    403,092.56x = 339,539,872,700.25
  5. Step 5: Solve for x
    x = 339,539,872,700.25/403,092.56
  6. Step 6: Final answer
    x = 842,337.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.