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Finding the Third Proportional to 285,529.36 and 634,884.82

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Solution

The third proportional to 285,529.36 and 634,884.82 is: 1,411,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,529.36 : 634,884.82 = 634,884.82 : x
  2. Step 2: Convert to fraction form
    285,529.36/634,884.82 = 634,884.82/x
  3. Step 3: Cross multiply
    285,529.36x = 634,884.82 × 634,884.82
  4. Step 4: Simplify right side
    285,529.36x = 403,078,735,063.24
  5. Step 5: Solve for x
    x = 403,078,735,063.24/285,529.36
  6. Step 6: Final answer
    x = 1,411,689.28

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