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Finding the Third Proportional to 264,654 and 624,658.50

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Solution

The third proportional to 264,654 and 624,658.50 is: 1,474,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,654 : 624,658.50 = 624,658.50 : x
  2. Step 2: Convert to fraction form
    264,654/624,658.50 = 624,658.50/x
  3. Step 3: Cross multiply
    264,654x = 624,658.50 × 624,658.50
  4. Step 4: Simplify right side
    264,654x = 390,198,241,622.25
  5. Step 5: Solve for x
    x = 390,198,241,622.25/264,654
  6. Step 6: Final answer
    x = 1,474,371.22

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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.