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Finding the Third Proportional to 464,548.50 and 717,945.75

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Solution

The third proportional to 464,548.50 and 717,945.75 is: 1,109,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,548.50 : 717,945.75 = 717,945.75 : x
  2. Step 2: Convert to fraction form
    464,548.50/717,945.75 = 717,945.75/x
  3. Step 3: Cross multiply
    464,548.50x = 717,945.75 × 717,945.75
  4. Step 4: Simplify right side
    464,548.50x = 515,446,099,943.06
  5. Step 5: Solve for x
    x = 515,446,099,943.06/464,548.50
  6. Step 6: Final answer
    x = 1,109,563.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.