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Finding the Third Proportional to 338,688 and 757,566

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Solution

The third proportional to 338,688 and 757,566 is: 1,694,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,688 : 757,566 = 757,566 : x
  2. Step 2: Convert to fraction form
    338,688/757,566 = 757,566/x
  3. Step 3: Cross multiply
    338,688x = 757,566 × 757,566
  4. Step 4: Simplify right side
    338,688x = 573,906,244,356
  5. Step 5: Solve for x
    x = 573,906,244,356/338,688
  6. Step 6: Final answer
    x = 1,694,498.31

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.