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Finding the Third Proportional to 403,917 and 598,077

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Solution

The third proportional to 403,917 and 598,077 is: 885,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,917 : 598,077 = 598,077 : x
  2. Step 2: Convert to fraction form
    403,917/598,077 = 598,077/x
  3. Step 3: Cross multiply
    403,917x = 598,077 × 598,077
  4. Step 4: Simplify right side
    403,917x = 357,696,097,929
  5. Step 5: Solve for x
    x = 357,696,097,929/403,917
  6. Step 6: Final answer
    x = 885,568.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.