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Finding the Third Proportional to 517,533.75 and 794,371.50

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Solution

The third proportional to 517,533.75 and 794,371.50 is: 1,219,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,533.75 : 794,371.50 = 794,371.50 : x
  2. Step 2: Convert to fraction form
    517,533.75/794,371.50 = 794,371.50/x
  3. Step 3: Cross multiply
    517,533.75x = 794,371.50 × 794,371.50
  4. Step 4: Simplify right side
    517,533.75x = 631,026,080,012.25
  5. Step 5: Solve for x
    x = 631,026,080,012.25/517,533.75
  6. Step 6: Final answer
    x = 1,219,294.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.