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Finding the Third Proportional to 265,904 and 399,051

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Solution

The third proportional to 265,904 and 399,051 is: 598,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,904 : 399,051 = 399,051 : x
  2. Step 2: Convert to fraction form
    265,904/399,051 = 399,051/x
  3. Step 3: Cross multiply
    265,904x = 399,051 × 399,051
  4. Step 4: Simplify right side
    265,904x = 159,241,700,601
  5. Step 5: Solve for x
    x = 159,241,700,601/265,904
  6. Step 6: Final answer
    x = 598,869.14

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Why These Related Problems?

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