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Finding the Third Proportional to 295,460.50 and 485,416

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Solution

The third proportional to 295,460.50 and 485,416 is: 797,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,460.50 : 485,416 = 485,416 : x
  2. Step 2: Convert to fraction form
    295,460.50/485,416 = 485,416/x
  3. Step 3: Cross multiply
    295,460.50x = 485,416 × 485,416
  4. Step 4: Simplify right side
    295,460.50x = 235,628,693,056
  5. Step 5: Solve for x
    x = 235,628,693,056/295,460.50
  6. Step 6: Final answer
    x = 797,496.43

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.