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Finding the Third Proportional to 326,416.50 and 499,284

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Solution

The third proportional to 326,416.50 and 499,284 is: 763,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,416.50 : 499,284 = 499,284 : x
  2. Step 2: Convert to fraction form
    326,416.50/499,284 = 499,284/x
  3. Step 3: Cross multiply
    326,416.50x = 499,284 × 499,284
  4. Step 4: Simplify right side
    326,416.50x = 249,284,512,656
  5. Step 5: Solve for x
    x = 249,284,512,656/326,416.50
  6. Step 6: Final answer
    x = 763,700.71

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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.