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Finding the Third Proportional to 264,804 and 624,576

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Solution

The third proportional to 264,804 and 624,576 is: 1,473,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,804 : 624,576 = 624,576 : x
  2. Step 2: Convert to fraction form
    264,804/624,576 = 624,576/x
  3. Step 3: Cross multiply
    264,804x = 624,576 × 624,576
  4. Step 4: Simplify right side
    264,804x = 390,095,179,776
  5. Step 5: Solve for x
    x = 390,095,179,776/264,804
  6. Step 6: Final answer
    x = 1,473,146.85

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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.