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Finding the Third Proportional to 474,660 and 634,059

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Solution

The third proportional to 474,660 and 634,059 is: 846,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,660 : 634,059 = 634,059 : x
  2. Step 2: Convert to fraction form
    474,660/634,059 = 634,059/x
  3. Step 3: Cross multiply
    474,660x = 634,059 × 634,059
  4. Step 4: Simplify right side
    474,660x = 402,030,815,481
  5. Step 5: Solve for x
    x = 402,030,815,481/474,660
  6. Step 6: Final answer
    x = 846,986.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.