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Finding the Third Proportional to 341,566 and 491,972

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Solution

The third proportional to 341,566 and 491,972 is: 708,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,566 : 491,972 = 491,972 : x
  2. Step 2: Convert to fraction form
    341,566/491,972 = 491,972/x
  3. Step 3: Cross multiply
    341,566x = 491,972 × 491,972
  4. Step 4: Simplify right side
    341,566x = 242,036,448,784
  5. Step 5: Solve for x
    x = 242,036,448,784/341,566
  6. Step 6: Final answer
    x = 708,608.14

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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.