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Finding the Third Proportional to 250,931.25 and 514,093.50

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Solution

The third proportional to 250,931.25 and 514,093.50 is: 1,053,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,931.25 : 514,093.50 = 514,093.50 : x
  2. Step 2: Convert to fraction form
    250,931.25/514,093.50 = 514,093.50/x
  3. Step 3: Cross multiply
    250,931.25x = 514,093.50 × 514,093.50
  4. Step 4: Simplify right side
    250,931.25x = 264,292,126,742.25
  5. Step 5: Solve for x
    x = 264,292,126,742.25/250,931.25
  6. Step 6: Final answer
    x = 1,053,245.17

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.