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Finding the Third Proportional to 415,377 and 907,634.25

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Solution

The third proportional to 415,377 and 907,634.25 is: 1,983,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,377 : 907,634.25 = 907,634.25 : x
  2. Step 2: Convert to fraction form
    415,377/907,634.25 = 907,634.25/x
  3. Step 3: Cross multiply
    415,377x = 907,634.25 × 907,634.25
  4. Step 4: Simplify right side
    415,377x = 823,799,931,773.06
  5. Step 5: Solve for x
    x = 823,799,931,773.06/415,377
  6. Step 6: Final answer
    x = 1,983,258.42

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