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Finding the Third Proportional to 491,718 and 759,414

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Solution

The third proportional to 491,718 and 759,414 is: 1,172,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,718 : 759,414 = 759,414 : x
  2. Step 2: Convert to fraction form
    491,718/759,414 = 759,414/x
  3. Step 3: Cross multiply
    491,718x = 759,414 × 759,414
  4. Step 4: Simplify right side
    491,718x = 576,709,623,396
  5. Step 5: Solve for x
    x = 576,709,623,396/491,718
  6. Step 6: Final answer
    x = 1,172,846.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.