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Finding the Third Proportional to 334,393.50 and 723,327

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Solution

The third proportional to 334,393.50 and 723,327 is: 1,564,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,393.50 : 723,327 = 723,327 : x
  2. Step 2: Convert to fraction form
    334,393.50/723,327 = 723,327/x
  3. Step 3: Cross multiply
    334,393.50x = 723,327 × 723,327
  4. Step 4: Simplify right side
    334,393.50x = 523,201,948,929
  5. Step 5: Solve for x
    x = 523,201,948,929/334,393.50
  6. Step 6: Final answer
    x = 1,564,629.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.