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Finding the Third Proportional to 475,971.75 and 991,308.94

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Solution

The third proportional to 475,971.75 and 991,308.94 is: 2,064,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,971.75 : 991,308.94 = 991,308.94 : x
  2. Step 2: Convert to fraction form
    475,971.75/991,308.94 = 991,308.94/x
  3. Step 3: Cross multiply
    475,971.75x = 991,308.94 × 991,308.94
  4. Step 4: Simplify right side
    475,971.75x = 982,693,409,567.38
  5. Step 5: Solve for x
    x = 982,693,409,567.38/475,971.75
  6. Step 6: Final answer
    x = 2,064,604.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.