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Finding the Third Proportional to 265,896 and 399,038

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Solution

The third proportional to 265,896 and 399,038 is: 598,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,896 : 399,038 = 399,038 : x
  2. Step 2: Convert to fraction form
    265,896/399,038 = 399,038/x
  3. Step 3: Cross multiply
    265,896x = 399,038 × 399,038
  4. Step 4: Simplify right side
    265,896x = 159,231,325,444
  5. Step 5: Solve for x
    x = 159,231,325,444/265,896
  6. Step 6: Final answer
    x = 598,848.14

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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.