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Finding the Third Proportional to 497,728.83 and 768,596.20

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Solution

The third proportional to 497,728.83 and 768,596.20 is: 1,186,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,728.83 : 768,596.20 = 768,596.20 : x
  2. Step 2: Convert to fraction form
    497,728.83/768,596.20 = 768,596.20/x
  3. Step 3: Cross multiply
    497,728.83x = 768,596.20 × 768,596.20
  4. Step 4: Simplify right side
    497,728.83x = 590,740,123,458.17
  5. Step 5: Solve for x
    x = 590,740,123,458.17/497,728.83
  6. Step 6: Final answer
    x = 1,186,871.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.