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Finding the Third Proportional to 265,963 and 398,943

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Solution

The third proportional to 265,963 and 398,943 is: 598,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,963 : 398,943 = 398,943 : x
  2. Step 2: Convert to fraction form
    265,963/398,943 = 398,943/x
  3. Step 3: Cross multiply
    265,963x = 398,943 × 398,943
  4. Step 4: Simplify right side
    265,963x = 159,155,517,249
  5. Step 5: Solve for x
    x = 159,155,517,249/265,963
  6. Step 6: Final answer
    x = 598,412.25

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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.