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Finding the Third Proportional to 285,554 and 634,936

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Solution

The third proportional to 285,554 and 634,936 is: 1,411,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,554 : 634,936 = 634,936 : x
  2. Step 2: Convert to fraction form
    285,554/634,936 = 634,936/x
  3. Step 3: Cross multiply
    285,554x = 634,936 × 634,936
  4. Step 4: Simplify right side
    285,554x = 403,143,724,096
  5. Step 5: Solve for x
    x = 403,143,724,096/285,554
  6. Step 6: Final answer
    x = 1,411,795.05

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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.