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Finding the Third Proportional to 265,891.50 and 399,031.50

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Solution

The third proportional to 265,891.50 and 399,031.50 is: 598,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,891.50 : 399,031.50 = 399,031.50 : x
  2. Step 2: Convert to fraction form
    265,891.50/399,031.50 = 399,031.50/x
  3. Step 3: Cross multiply
    265,891.50x = 399,031.50 × 399,031.50
  4. Step 4: Simplify right side
    265,891.50x = 159,226,137,992.25
  5. Step 5: Solve for x
    x = 159,226,137,992.25/265,891.50
  6. Step 6: Final answer
    x = 598,838.77

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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.