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Finding the Third Proportional to 491,724 and 759,420

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Solution

The third proportional to 491,724 and 759,420 is: 1,172,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,724 : 759,420 = 759,420 : x
  2. Step 2: Convert to fraction form
    491,724/759,420 = 759,420/x
  3. Step 3: Cross multiply
    491,724x = 759,420 × 759,420
  4. Step 4: Simplify right side
    491,724x = 576,718,736,400
  5. Step 5: Solve for x
    x = 576,718,736,400/491,724
  6. Step 6: Final answer
    x = 1,172,850.49

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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.