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Finding the Third Proportional to 427,736 and 598,005.50

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Solution

The third proportional to 427,736 and 598,005.50 is: 836,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,736 : 598,005.50 = 598,005.50 : x
  2. Step 2: Convert to fraction form
    427,736/598,005.50 = 598,005.50/x
  3. Step 3: Cross multiply
    427,736x = 598,005.50 × 598,005.50
  4. Step 4: Simplify right side
    427,736x = 357,610,578,030.25
  5. Step 5: Solve for x
    x = 357,610,578,030.25/427,736
  6. Step 6: Final answer
    x = 836,054.43

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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.