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Finding the Third Proportional to 397,250 and 907,581

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Solution

The third proportional to 397,250 and 907,581 is: 2,073,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,250 : 907,581 = 907,581 : x
  2. Step 2: Convert to fraction form
    397,250/907,581 = 907,581/x
  3. Step 3: Cross multiply
    397,250x = 907,581 × 907,581
  4. Step 4: Simplify right side
    397,250x = 823,703,271,561
  5. Step 5: Solve for x
    x = 823,703,271,561/397,250
  6. Step 6: Final answer
    x = 2,073,513.58

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.