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Finding the Third Proportional to 398,628 and 582,594

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Solution

The third proportional to 398,628 and 582,594 is: 851,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,628 : 582,594 = 582,594 : x
  2. Step 2: Convert to fraction form
    398,628/582,594 = 582,594/x
  3. Step 3: Cross multiply
    398,628x = 582,594 × 582,594
  4. Step 4: Simplify right side
    398,628x = 339,415,768,836
  5. Step 5: Solve for x
    x = 339,415,768,836/398,628
  6. Step 6: Final answer
    x = 851,459.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.