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Finding the Third Proportional to 326,415.94 and 499,283.44

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Solution

The third proportional to 326,415.94 and 499,283.44 is: 763,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,415.94 : 499,283.44 = 499,283.44 : x
  2. Step 2: Convert to fraction form
    326,415.94/499,283.44 = 499,283.44/x
  3. Step 3: Cross multiply
    326,415.94x = 499,283.44 × 499,283.44
  4. Step 4: Simplify right side
    326,415.94x = 249,283,950,961.82
  5. Step 5: Solve for x
    x = 249,283,950,961.82/326,415.94
  6. Step 6: Final answer
    x = 763,700.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.