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Finding the Third Proportional to 403,848 and 633,554

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Solution

The third proportional to 403,848 and 633,554 is: 993,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,848 : 633,554 = 633,554 : x
  2. Step 2: Convert to fraction form
    403,848/633,554 = 633,554/x
  3. Step 3: Cross multiply
    403,848x = 633,554 × 633,554
  4. Step 4: Simplify right side
    403,848x = 401,390,670,916
  5. Step 5: Solve for x
    x = 401,390,670,916/403,848
  6. Step 6: Final answer
    x = 993,915.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.