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Finding the Third Proportional to 351,031.50 and 729,054

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Solution

The third proportional to 351,031.50 and 729,054 is: 1,514,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,031.50 : 729,054 = 729,054 : x
  2. Step 2: Convert to fraction form
    351,031.50/729,054 = 729,054/x
  3. Step 3: Cross multiply
    351,031.50x = 729,054 × 729,054
  4. Step 4: Simplify right side
    351,031.50x = 531,519,734,916
  5. Step 5: Solve for x
    x = 531,519,734,916/351,031.50
  6. Step 6: Final answer
    x = 1,514,165.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.