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Finding the Third Proportional to 341,475.75 and 491,907.94

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Solution

The third proportional to 341,475.75 and 491,907.94 is: 708,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,475.75 : 491,907.94 = 491,907.94 : x
  2. Step 2: Convert to fraction form
    341,475.75/491,907.94 = 491,907.94/x
  3. Step 3: Cross multiply
    341,475.75x = 491,907.94 × 491,907.94
  4. Step 4: Simplify right side
    341,475.75x = 241,973,418,975.50
  5. Step 5: Solve for x
    x = 241,973,418,975.50/341,475.75
  6. Step 6: Final answer
    x = 708,610.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.