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Finding the Third Proportional to 264,699 and 624,771

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Solution

The third proportional to 264,699 and 624,771 is: 1,474,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,699 : 624,771 = 624,771 : x
  2. Step 2: Convert to fraction form
    264,699/624,771 = 624,771/x
  3. Step 3: Cross multiply
    264,699x = 624,771 × 624,771
  4. Step 4: Simplify right side
    264,699x = 390,338,802,441
  5. Step 5: Solve for x
    x = 390,338,802,441/264,699
  6. Step 6: Final answer
    x = 1,474,651.59

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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.