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Finding the Third Proportional to 727,650.50 and 1,530,705

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Solution

The third proportional to 727,650.50 and 1,530,705 is: 3,220,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,650.50 : 1,530,705 = 1,530,705 : x
  2. Step 2: Convert to fraction form
    727,650.50/1,530,705 = 1,530,705/x
  3. Step 3: Cross multiply
    727,650.50x = 1,530,705 × 1,530,705
  4. Step 4: Simplify right side
    727,650.50x = 2,343,057,797,025
  5. Step 5: Solve for x
    x = 2,343,057,797,025/727,650.50
  6. Step 6: Final answer
    x = 3,220,031.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.