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Finding the Third Proportional to 294,175 and 634,997

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Solution

The third proportional to 294,175 and 634,997 is: 1,370,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,175 : 634,997 = 634,997 : x
  2. Step 2: Convert to fraction form
    294,175/634,997 = 634,997/x
  3. Step 3: Cross multiply
    294,175x = 634,997 × 634,997
  4. Step 4: Simplify right side
    294,175x = 403,221,190,009
  5. Step 5: Solve for x
    x = 403,221,190,009/294,175
  6. Step 6: Final answer
    x = 1,370,684.76

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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.