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Finding the Third Proportional to 427,758 and 598,014

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Solution

The third proportional to 427,758 and 598,014 is: 836,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,758 : 598,014 = 598,014 : x
  2. Step 2: Convert to fraction form
    427,758/598,014 = 598,014/x
  3. Step 3: Cross multiply
    427,758x = 598,014 × 598,014
  4. Step 4: Simplify right side
    427,758x = 357,620,744,196
  5. Step 5: Solve for x
    x = 357,620,744,196/427,758
  6. Step 6: Final answer
    x = 836,035.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.