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Finding the Third Proportional to 415,375 and 907,627

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Solution

The third proportional to 415,375 and 907,627 is: 1,983,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,375 : 907,627 = 907,627 : x
  2. Step 2: Convert to fraction form
    415,375/907,627 = 907,627/x
  3. Step 3: Cross multiply
    415,375x = 907,627 × 907,627
  4. Step 4: Simplify right side
    415,375x = 823,786,771,129
  5. Step 5: Solve for x
    x = 823,786,771,129/415,375
  6. Step 6: Final answer
    x = 1,983,236.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.