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Finding the Third Proportional to 285,568.50 and 634,965

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Solution

The third proportional to 285,568.50 and 634,965 is: 1,411,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,568.50 : 634,965 = 634,965 : x
  2. Step 2: Convert to fraction form
    285,568.50/634,965 = 634,965/x
  3. Step 3: Cross multiply
    285,568.50x = 634,965 × 634,965
  4. Step 4: Simplify right side
    285,568.50x = 403,180,551,225
  5. Step 5: Solve for x
    x = 403,180,551,225/285,568.50
  6. Step 6: Final answer
    x = 1,411,852.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.