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Finding the Third Proportional to 427,305 and 634,369.50

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Solution

The third proportional to 427,305 and 634,369.50 is: 941,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,305 : 634,369.50 = 634,369.50 : x
  2. Step 2: Convert to fraction form
    427,305/634,369.50 = 634,369.50/x
  3. Step 3: Cross multiply
    427,305x = 634,369.50 × 634,369.50
  4. Step 4: Simplify right side
    427,305x = 402,424,662,530.25
  5. Step 5: Solve for x
    x = 402,424,662,530.25/427,305
  6. Step 6: Final answer
    x = 941,773.82

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