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Finding the Third Proportional to 264,696 and 624,732

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Solution

The third proportional to 264,696 and 624,732 is: 1,474,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,696 : 624,732 = 624,732 : x
  2. Step 2: Convert to fraction form
    264,696/624,732 = 624,732/x
  3. Step 3: Cross multiply
    264,696x = 624,732 × 624,732
  4. Step 4: Simplify right side
    264,696x = 390,290,071,824
  5. Step 5: Solve for x
    x = 390,290,071,824/264,696
  6. Step 6: Final answer
    x = 1,474,484.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.