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Finding the Third Proportional to 294,174 and 634,995

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Solution

The third proportional to 294,174 and 634,995 is: 1,370,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,174 : 634,995 = 634,995 : x
  2. Step 2: Convert to fraction form
    294,174/634,995 = 634,995/x
  3. Step 3: Cross multiply
    294,174x = 634,995 × 634,995
  4. Step 4: Simplify right side
    294,174x = 403,218,650,025
  5. Step 5: Solve for x
    x = 403,218,650,025/294,174
  6. Step 6: Final answer
    x = 1,370,680.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.