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Finding the Third Proportional to 326,623.50 and 499,656

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Solution

The third proportional to 326,623.50 and 499,656 is: 764,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,623.50 : 499,656 = 499,656 : x
  2. Step 2: Convert to fraction form
    326,623.50/499,656 = 499,656/x
  3. Step 3: Cross multiply
    326,623.50x = 499,656 × 499,656
  4. Step 4: Simplify right side
    326,623.50x = 249,656,118,336
  5. Step 5: Solve for x
    x = 249,656,118,336/326,623.50
  6. Step 6: Final answer
    x = 764,354.43

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