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Finding the Third Proportional to 398,963.25 and 598,842

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Solution

The third proportional to 398,963.25 and 598,842 is: 898,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,963.25 : 598,842 = 598,842 : x
  2. Step 2: Convert to fraction form
    398,963.25/598,842 = 598,842/x
  3. Step 3: Cross multiply
    398,963.25x = 598,842 × 598,842
  4. Step 4: Simplify right side
    398,963.25x = 358,611,740,964
  5. Step 5: Solve for x
    x = 358,611,740,964/398,963.25
  6. Step 6: Final answer
    x = 898,859.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.