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Finding the Third Proportional to 301,558 and 634,112

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Solution

The third proportional to 301,558 and 634,112 is: 1,333,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,558 : 634,112 = 634,112 : x
  2. Step 2: Convert to fraction form
    301,558/634,112 = 634,112/x
  3. Step 3: Cross multiply
    301,558x = 634,112 × 634,112
  4. Step 4: Simplify right side
    301,558x = 402,098,028,544
  5. Step 5: Solve for x
    x = 402,098,028,544/301,558
  6. Step 6: Final answer
    x = 1,333,401.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.