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Finding the Third Proportional to 235,440 and 512,917.50

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Solution

The third proportional to 235,440 and 512,917.50 is: 1,117,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,440 : 512,917.50 = 512,917.50 : x
  2. Step 2: Convert to fraction form
    235,440/512,917.50 = 512,917.50/x
  3. Step 3: Cross multiply
    235,440x = 512,917.50 × 512,917.50
  4. Step 4: Simplify right side
    235,440x = 263,084,361,806.25
  5. Step 5: Solve for x
    x = 263,084,361,806.25/235,440
  6. Step 6: Final answer
    x = 1,117,415.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.