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Finding the Third Proportional to 467,775 and 753,340.50

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Solution

The third proportional to 467,775 and 753,340.50 is: 1,213,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,775 : 753,340.50 = 753,340.50 : x
  2. Step 2: Convert to fraction form
    467,775/753,340.50 = 753,340.50/x
  3. Step 3: Cross multiply
    467,775x = 753,340.50 × 753,340.50
  4. Step 4: Simplify right side
    467,775x = 567,521,908,940.25
  5. Step 5: Solve for x
    x = 567,521,908,940.25/467,775
  6. Step 6: Final answer
    x = 1,213,236.94

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.