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Finding the Third Proportional to 341,570 and 491,978

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Solution

The third proportional to 341,570 and 491,978 is: 708,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,570 : 491,978 = 491,978 : x
  2. Step 2: Convert to fraction form
    341,570/491,978 = 491,978/x
  3. Step 3: Cross multiply
    341,570x = 491,978 × 491,978
  4. Step 4: Simplify right side
    341,570x = 242,042,352,484
  5. Step 5: Solve for x
    x = 242,042,352,484/341,570
  6. Step 6: Final answer
    x = 708,617.13

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