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Finding the Third Proportional to 427,918 and 598,226

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Solution

The third proportional to 427,918 and 598,226 is: 836,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,918 : 598,226 = 598,226 : x
  2. Step 2: Convert to fraction form
    427,918/598,226 = 598,226/x
  3. Step 3: Cross multiply
    427,918x = 598,226 × 598,226
  4. Step 4: Simplify right side
    427,918x = 357,874,347,076
  5. Step 5: Solve for x
    x = 357,874,347,076/427,918
  6. Step 6: Final answer
    x = 836,315.25

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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.