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Finding the Third Proportional to 407,171 and 634,023

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Solution

The third proportional to 407,171 and 634,023 is: 987,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,171 : 634,023 = 634,023 : x
  2. Step 2: Convert to fraction form
    407,171/634,023 = 634,023/x
  3. Step 3: Cross multiply
    407,171x = 634,023 × 634,023
  4. Step 4: Simplify right side
    407,171x = 401,985,164,529
  5. Step 5: Solve for x
    x = 401,985,164,529/407,171
  6. Step 6: Final answer
    x = 987,263.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.