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Finding the Third Proportional to 417,216.50 and 856,550

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Solution

The third proportional to 417,216.50 and 856,550 is: 1,758,506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,216.50 : 856,550 = 856,550 : x
  2. Step 2: Convert to fraction form
    417,216.50/856,550 = 856,550/x
  3. Step 3: Cross multiply
    417,216.50x = 856,550 × 856,550
  4. Step 4: Simplify right side
    417,216.50x = 733,677,902,500
  5. Step 5: Solve for x
    x = 733,677,902,500/417,216.50
  6. Step 6: Final answer
    x = 1,758,506.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.