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Finding the Third Proportional to 350,643 and 757,326

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Solution

The third proportional to 350,643 and 757,326 is: 1,635,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,643 : 757,326 = 757,326 : x
  2. Step 2: Convert to fraction form
    350,643/757,326 = 757,326/x
  3. Step 3: Cross multiply
    350,643x = 757,326 × 757,326
  4. Step 4: Simplify right side
    350,643x = 573,542,670,276
  5. Step 5: Solve for x
    x = 573,542,670,276/350,643
  6. Step 6: Final answer
    x = 1,635,688.35

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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.