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Finding the Third Proportional to 314,385.50 and 444,423

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Solution

The third proportional to 314,385.50 and 444,423 is: 628,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,385.50 : 444,423 = 444,423 : x
  2. Step 2: Convert to fraction form
    314,385.50/444,423 = 444,423/x
  3. Step 3: Cross multiply
    314,385.50x = 444,423 × 444,423
  4. Step 4: Simplify right side
    314,385.50x = 197,511,802,929
  5. Step 5: Solve for x
    x = 197,511,802,929/314,385.50
  6. Step 6: Final answer
    x = 628,247.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.