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Finding the Third Proportional to 336,582.56 and 729,241.88

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Solution

The third proportional to 336,582.56 and 729,241.88 is: 1,579,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,582.56 : 729,241.88 = 729,241.88 : x
  2. Step 2: Convert to fraction form
    336,582.56/729,241.88 = 729,241.88/x
  3. Step 3: Cross multiply
    336,582.56x = 729,241.88 × 729,241.88
  4. Step 4: Simplify right side
    336,582.56x = 531,793,712,253.52
  5. Step 5: Solve for x
    x = 531,793,712,253.52/336,582.56
  6. Step 6: Final answer
    x = 1,579,979.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.