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Finding the Third Proportional to 336,438.56 and 499,797.84

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Solution

The third proportional to 336,438.56 and 499,797.84 is: 742,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,438.56 : 499,797.84 = 499,797.84 : x
  2. Step 2: Convert to fraction form
    336,438.56/499,797.84 = 499,797.84/x
  3. Step 3: Cross multiply
    336,438.56x = 499,797.84 × 499,797.84
  4. Step 4: Simplify right side
    336,438.56x = 249,797,884,617.15
  5. Step 5: Solve for x
    x = 249,797,884,617.15/336,438.56
  6. Step 6: Final answer
    x = 742,476.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.