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Finding the Third Proportional to 428,560 and 634,092

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Solution

The third proportional to 428,560 and 634,092 is: 938,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,560 : 634,092 = 634,092 : x
  2. Step 2: Convert to fraction form
    428,560/634,092 = 634,092/x
  3. Step 3: Cross multiply
    428,560x = 634,092 × 634,092
  4. Step 4: Simplify right side
    428,560x = 402,072,664,464
  5. Step 5: Solve for x
    x = 402,072,664,464/428,560
  6. Step 6: Final answer
    x = 938,194.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.