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Finding the Third Proportional to 427,735 and 598,004

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Solution

The third proportional to 427,735 and 598,004 is: 836,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,735 : 598,004 = 598,004 : x
  2. Step 2: Convert to fraction form
    427,735/598,004 = 598,004/x
  3. Step 3: Cross multiply
    427,735x = 598,004 × 598,004
  4. Step 4: Simplify right side
    427,735x = 357,608,784,016
  5. Step 5: Solve for x
    x = 357,608,784,016/427,735
  6. Step 6: Final answer
    x = 836,052.19

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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.