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Finding the Third Proportional to 341,570.25 and 491,973.75

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Solution

The third proportional to 341,570.25 and 491,973.75 is: 708,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,570.25 : 491,973.75 = 491,973.75 : x
  2. Step 2: Convert to fraction form
    341,570.25/491,973.75 = 491,973.75/x
  3. Step 3: Cross multiply
    341,570.25x = 491,973.75 × 491,973.75
  4. Step 4: Simplify right side
    341,570.25x = 242,038,170,689.06
  5. Step 5: Solve for x
    x = 242,038,170,689.06/341,570.25
  6. Step 6: Final answer
    x = 708,604.37

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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.