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Finding the Third Proportional to 353,735 and 763,488

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Solution

The third proportional to 353,735 and 763,488 is: 1,647,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,735 : 763,488 = 763,488 : x
  2. Step 2: Convert to fraction form
    353,735/763,488 = 763,488/x
  3. Step 3: Cross multiply
    353,735x = 763,488 × 763,488
  4. Step 4: Simplify right side
    353,735x = 582,913,926,144
  5. Step 5: Solve for x
    x = 582,913,926,144/353,735
  6. Step 6: Final answer
    x = 1,647,883.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.