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Finding the Third Proportional to 517,467.75 and 794,310

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Solution

The third proportional to 517,467.75 and 794,310 is: 1,219,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,467.75 : 794,310 = 794,310 : x
  2. Step 2: Convert to fraction form
    517,467.75/794,310 = 794,310/x
  3. Step 3: Cross multiply
    517,467.75x = 794,310 × 794,310
  4. Step 4: Simplify right side
    517,467.75x = 630,928,376,100
  5. Step 5: Solve for x
    x = 630,928,376,100/517,467.75
  6. Step 6: Final answer
    x = 1,219,261.25

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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.