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Finding the Third Proportional to 265,894 and 399,035

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Solution

The third proportional to 265,894 and 399,035 is: 598,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,894 : 399,035 = 399,035 : x
  2. Step 2: Convert to fraction form
    265,894/399,035 = 399,035/x
  3. Step 3: Cross multiply
    265,894x = 399,035 × 399,035
  4. Step 4: Simplify right side
    265,894x = 159,228,931,225
  5. Step 5: Solve for x
    x = 159,228,931,225/265,894
  6. Step 6: Final answer
    x = 598,843.64

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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.