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Finding the Third Proportional to 324,813.38 and 499,901.63

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Solution

The third proportional to 324,813.38 and 499,901.63 is: 769,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,813.38 : 499,901.63 = 499,901.63 : x
  2. Step 2: Convert to fraction form
    324,813.38/499,901.63 = 499,901.63/x
  3. Step 3: Cross multiply
    324,813.38x = 499,901.63 × 499,901.63
  4. Step 4: Simplify right side
    324,813.38x = 249,901,634,677.64
  5. Step 5: Solve for x
    x = 249,901,634,677.64/324,813.38
  6. Step 6: Final answer
    x = 769,369.90

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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.